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Finding the Fourth Proportional to 42,307.50, 63,462.30 and 14,227.92

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Solution

The fourth proportional to 42,307.50, 63,462.30 and 14,227.92 is: 21,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,307.50 : 63,462.30 = 14,227.92 : x
  2. Step 2: Convert to fraction form
    42,307.50/63,462.30 = 14,227.92/x
  3. Step 3: Cross multiply
    42,307.50x = 63,462.30 × 14,227.92
  4. Step 4: Simplify right side
    42,307.50x = 902,936,527.42
  5. Step 5: Solve for x
    x = 902,936,527.42/42,307.50
  6. Step 6: Final answer
    x = 21,342.23

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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.