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Finding the Fourth Proportional to 97,214.06, 145,821.11 and 23,342.06

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Solution

The fourth proportional to 97,214.06, 145,821.11 and 23,342.06 is: 35,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,214.06 : 145,821.11 = 23,342.06 : x
  2. Step 2: Convert to fraction form
    97,214.06/145,821.11 = 23,342.06/x
  3. Step 3: Cross multiply
    97,214.06x = 145,821.11 × 23,342.06
  4. Step 4: Simplify right side
    97,214.06x = 3,403,765,346.73
  5. Step 5: Solve for x
    x = 3,403,765,346.73/97,214.06
  6. Step 6: Final answer
    x = 35,013.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.