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Finding the Fourth Proportional to 52,508.92, 72,460.56 and 31,277.20

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Solution

The fourth proportional to 52,508.92, 72,460.56 and 31,277.20 is: 43,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.92 : 72,460.56 = 31,277.20 : x
  2. Step 2: Convert to fraction form
    52,508.92/72,460.56 = 31,277.20/x
  3. Step 3: Cross multiply
    52,508.92x = 72,460.56 × 31,277.20
  4. Step 4: Simplify right side
    52,508.92x = 2,266,363,427.23
  5. Step 5: Solve for x
    x = 2,266,363,427.23/52,508.92
  6. Step 6: Final answer
    x = 43,161.49

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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.