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Finding the Fourth Proportional to 54,909.56, 75,771 and 31,038.47

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Solution

The fourth proportional to 54,909.56, 75,771 and 31,038.47 is: 42,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.56 : 75,771 = 31,038.47 : x
  2. Step 2: Convert to fraction form
    54,909.56/75,771 = 31,038.47/x
  3. Step 3: Cross multiply
    54,909.56x = 75,771 × 31,038.47
  4. Step 4: Simplify right side
    54,909.56x = 2,351,815,910.37
  5. Step 5: Solve for x
    x = 2,351,815,910.37/54,909.56
  6. Step 6: Final answer
    x = 42,830.72

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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.