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Finding the Fourth Proportional to 70,702.26, 97,562.84 and 38,870.47

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Solution

The fourth proportional to 70,702.26, 97,562.84 and 38,870.47 is: 53,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702.26 : 97,562.84 = 38,870.47 : x
  2. Step 2: Convert to fraction form
    70,702.26/97,562.84 = 38,870.47/x
  3. Step 3: Cross multiply
    70,702.26x = 97,562.84 × 38,870.47
  4. Step 4: Simplify right side
    70,702.26x = 3,792,313,445.33
  5. Step 5: Solve for x
    x = 3,792,313,445.33/70,702.26
  6. Step 6: Final answer
    x = 53,637.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.