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Finding the Fourth Proportional to 52,771, 72,812.32 and 32,357.44

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Solution

The fourth proportional to 52,771, 72,812.32 and 32,357.44 is: 44,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771 : 72,812.32 = 32,357.44 : x
  2. Step 2: Convert to fraction form
    52,771/72,812.32 = 32,357.44/x
  3. Step 3: Cross multiply
    52,771x = 72,812.32 × 32,357.44
  4. Step 4: Simplify right side
    52,771x = 2,356,020,275.66
  5. Step 5: Solve for x
    x = 2,356,020,275.66/52,771
  6. Step 6: Final answer
    x = 44,646.12

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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.