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Finding the Fourth Proportional to 97,875.54, 146,781.72 and 27,736.02

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Solution

The fourth proportional to 97,875.54, 146,781.72 and 27,736.02 is: 41,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875.54 : 146,781.72 = 27,736.02 : x
  2. Step 2: Convert to fraction form
    97,875.54/146,781.72 = 27,736.02/x
  3. Step 3: Cross multiply
    97,875.54x = 146,781.72 × 27,736.02
  4. Step 4: Simplify right side
    97,875.54x = 4,071,140,721.55
  5. Step 5: Solve for x
    x = 4,071,140,721.55/97,875.54
  6. Step 6: Final answer
    x = 41,595.08

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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.