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Finding the Fourth Proportional to 65,020.32, 97,608.24 and 38,737.44

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Solution

The fourth proportional to 65,020.32, 97,608.24 and 38,737.44 is: 58,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.32 : 97,608.24 = 38,737.44 : x
  2. Step 2: Convert to fraction form
    65,020.32/97,608.24 = 38,737.44/x
  3. Step 3: Cross multiply
    65,020.32x = 97,608.24 × 38,737.44
  4. Step 4: Simplify right side
    65,020.32x = 3,781,093,340.51
  5. Step 5: Solve for x
    x = 3,781,093,340.51/65,020.32
  6. Step 6: Final answer
    x = 58,152.49

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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.