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Finding the Fourth Proportional to 42,536, 63,782.72 and 24,772.48

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Solution

The fourth proportional to 42,536, 63,782.72 and 24,772.48 is: 37,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,536 : 63,782.72 = 24,772.48 : x
  2. Step 2: Convert to fraction form
    42,536/63,782.72 = 24,772.48/x
  3. Step 3: Cross multiply
    42,536x = 63,782.72 × 24,772.48
  4. Step 4: Simplify right side
    42,536x = 1,580,056,155.55
  5. Step 5: Solve for x
    x = 1,580,056,155.55/42,536
  6. Step 6: Final answer
    x = 37,146.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.