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Finding the Fourth Proportional to 42,353.88, 63,532.14 and 15,706.50

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Solution

The fourth proportional to 42,353.88, 63,532.14 and 15,706.50 is: 23,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,353.88 : 63,532.14 = 15,706.50 : x
  2. Step 2: Convert to fraction form
    42,353.88/63,532.14 = 15,706.50/x
  3. Step 3: Cross multiply
    42,353.88x = 63,532.14 × 15,706.50
  4. Step 4: Simplify right side
    42,353.88x = 997,867,556.91
  5. Step 5: Solve for x
    x = 997,867,556.91/42,353.88
  6. Step 6: Final answer
    x = 23,560.24

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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.