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Finding the Fourth Proportional to 70,013.96, 104,701.71 and 52,257.14

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Solution

The fourth proportional to 70,013.96, 104,701.71 and 52,257.14 is: 78,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,013.96 : 104,701.71 = 52,257.14 : x
  2. Step 2: Convert to fraction form
    70,013.96/104,701.71 = 52,257.14/x
  3. Step 3: Cross multiply
    70,013.96x = 104,701.71 × 52,257.14
  4. Step 4: Simplify right side
    70,013.96x = 5,471,411,917.71
  5. Step 5: Solve for x
    x = 5,471,411,917.71/70,013.96
  6. Step 6: Final answer
    x = 78,147.44

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Why These Related Problems?

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