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Finding the Fourth Proportional to 54,428.90, 75,122.94 and 31,459.70

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Solution

The fourth proportional to 54,428.90, 75,122.94 and 31,459.70 is: 43,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,428.90 : 75,122.94 = 31,459.70 : x
  2. Step 2: Convert to fraction form
    54,428.90/75,122.94 = 31,459.70/x
  3. Step 3: Cross multiply
    54,428.90x = 75,122.94 × 31,459.70
  4. Step 4: Simplify right side
    54,428.90x = 2,363,345,155.52
  5. Step 5: Solve for x
    x = 2,363,345,155.52/54,428.90
  6. Step 6: Final answer
    x = 43,420.78

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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.