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Finding the Fourth Proportional to 89,732, 123,830.16 and 52,028.12

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Solution

The fourth proportional to 89,732, 123,830.16 and 52,028.12 is: 71,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,732 : 123,830.16 = 52,028.12 : x
  2. Step 2: Convert to fraction form
    89,732/123,830.16 = 52,028.12/x
  3. Step 3: Cross multiply
    89,732x = 123,830.16 × 52,028.12
  4. Step 4: Simplify right side
    89,732x = 6,442,650,424.10
  5. Step 5: Solve for x
    x = 6,442,650,424.10/89,732
  6. Step 6: Final answer
    x = 71,798.81

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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.