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Finding the Fourth Proportional to 42,493.50, 63,740.52 and 14,791.50

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Solution

The fourth proportional to 42,493.50, 63,740.52 and 14,791.50 is: 22,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,493.50 : 63,740.52 = 14,791.50 : x
  2. Step 2: Convert to fraction form
    42,493.50/63,740.52 = 14,791.50/x
  3. Step 3: Cross multiply
    42,493.50x = 63,740.52 × 14,791.50
  4. Step 4: Simplify right side
    42,493.50x = 942,817,901.58
  5. Step 5: Solve for x
    x = 942,817,901.58/42,493.50
  6. Step 6: Final answer
    x = 22,187.34

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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.