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Finding the Fourth Proportional to 56,269.76, 77,650 and 32,397.28

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Solution

The fourth proportional to 56,269.76, 77,650 and 32,397.28 is: 44,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,269.76 : 77,650 = 32,397.28 : x
  2. Step 2: Convert to fraction form
    56,269.76/77,650 = 32,397.28/x
  3. Step 3: Cross multiply
    56,269.76x = 77,650 × 32,397.28
  4. Step 4: Simplify right side
    56,269.76x = 2,515,648,792
  5. Step 5: Solve for x
    x = 2,515,648,792/56,269.76
  6. Step 6: Final answer
    x = 44,706.94

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