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Finding the Fourth Proportional to 52,451.64, 72,384.09 and 28,578.31

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Solution

The fourth proportional to 52,451.64, 72,384.09 and 28,578.31 is: 39,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.64 : 72,384.09 = 28,578.31 : x
  2. Step 2: Convert to fraction form
    52,451.64/72,384.09 = 28,578.31/x
  3. Step 3: Cross multiply
    52,451.64x = 72,384.09 × 28,578.31
  4. Step 4: Simplify right side
    52,451.64x = 2,068,614,963.09
  5. Step 5: Solve for x
    x = 2,068,614,963.09/52,451.64
  6. Step 6: Final answer
    x = 39,438.52

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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.