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Finding the Fourth Proportional to 54,938.48, 75,812.10 and 31,069.94

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Solution

The fourth proportional to 54,938.48, 75,812.10 and 31,069.94 is: 42,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938.48 : 75,812.10 = 31,069.94 : x
  2. Step 2: Convert to fraction form
    54,938.48/75,812.10 = 31,069.94/x
  3. Step 3: Cross multiply
    54,938.48x = 75,812.10 × 31,069.94
  4. Step 4: Simplify right side
    54,938.48x = 2,355,477,398.27
  5. Step 5: Solve for x
    x = 2,355,477,398.27/54,938.48
  6. Step 6: Final answer
    x = 42,874.82

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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.