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Finding the Fourth Proportional to 35,468.52, 53,195.31 and 10,508.78

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Solution

The fourth proportional to 35,468.52, 53,195.31 and 10,508.78 is: 15,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.52 : 53,195.31 = 10,508.78 : x
  2. Step 2: Convert to fraction form
    35,468.52/53,195.31 = 10,508.78/x
  3. Step 3: Cross multiply
    35,468.52x = 53,195.31 × 10,508.78
  4. Step 4: Simplify right side
    35,468.52x = 559,017,809.82
  5. Step 5: Solve for x
    x = 559,017,809.82/35,468.52
  6. Step 6: Final answer
    x = 15,760.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.