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Finding the Fourth Proportional to 97,128.50, 145,718.66 and 34,805.30

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Solution

The fourth proportional to 97,128.50, 145,718.66 and 34,805.30 is: 52,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,128.50 : 145,718.66 = 34,805.30 : x
  2. Step 2: Convert to fraction form
    97,128.50/145,718.66 = 34,805.30/x
  3. Step 3: Cross multiply
    97,128.50x = 145,718.66 × 34,805.30
  4. Step 4: Simplify right side
    97,128.50x = 5,071,781,035.32
  5. Step 5: Solve for x
    x = 5,071,781,035.32/97,128.50
  6. Step 6: Final answer
    x = 52,217.23

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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.