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Finding the Fourth Proportional to 52,535.97, 78,814.05 and 17,006.10

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Solution

The fourth proportional to 52,535.97, 78,814.05 and 17,006.10 is: 25,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,535.97 : 78,814.05 = 17,006.10 : x
  2. Step 2: Convert to fraction form
    52,535.97/78,814.05 = 17,006.10/x
  3. Step 3: Cross multiply
    52,535.97x = 78,814.05 × 17,006.10
  4. Step 4: Simplify right side
    52,535.97x = 1,340,319,615.71
  5. Step 5: Solve for x
    x = 1,340,319,615.71/52,535.97
  6. Step 6: Final answer
    x = 25,512.42

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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.