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Finding the Fourth Proportional to 53,470.52, 73,808.76 and 31,114.52

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Solution

The fourth proportional to 53,470.52, 73,808.76 and 31,114.52 is: 42,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,470.52 : 73,808.76 = 31,114.52 : x
  2. Step 2: Convert to fraction form
    53,470.52/73,808.76 = 31,114.52/x
  3. Step 3: Cross multiply
    53,470.52x = 73,808.76 × 31,114.52
  4. Step 4: Simplify right side
    53,470.52x = 2,296,524,139.20
  5. Step 5: Solve for x
    x = 2,296,524,139.20/53,470.52
  6. Step 6: Final answer
    x = 42,949.35

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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.