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Finding the Fourth Proportional to 97,212.10, 145,818.14 and 23,340.10

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Solution

The fourth proportional to 97,212.10, 145,818.14 and 23,340.10 is: 35,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,212.10 : 145,818.14 = 23,340.10 : x
  2. Step 2: Convert to fraction form
    97,212.10/145,818.14 = 23,340.10/x
  3. Step 3: Cross multiply
    97,212.10x = 145,818.14 × 23,340.10
  4. Step 4: Simplify right side
    97,212.10x = 3,403,409,969.41
  5. Step 5: Solve for x
    x = 3,403,409,969.41/97,212.10
  6. Step 6: Final answer
    x = 35,010.15

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