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Finding the Fourth Proportional to 52,033.68, 71,807.44 and 29,377.20

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Solution

The fourth proportional to 52,033.68, 71,807.44 and 29,377.20 is: 40,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.68 : 71,807.44 = 29,377.20 : x
  2. Step 2: Convert to fraction form
    52,033.68/71,807.44 = 29,377.20/x
  3. Step 3: Cross multiply
    52,033.68x = 71,807.44 × 29,377.20
  4. Step 4: Simplify right side
    52,033.68x = 2,109,501,526.37
  5. Step 5: Solve for x
    x = 2,109,501,526.37/52,033.68
  6. Step 6: Final answer
    x = 40,541.08

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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.