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Finding the Fourth Proportional to 47,432.80, 71,152.80 and 14,150.26

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Solution

The fourth proportional to 47,432.80, 71,152.80 and 14,150.26 is: 21,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,432.80 : 71,152.80 = 14,150.26 : x
  2. Step 2: Convert to fraction form
    47,432.80/71,152.80 = 14,150.26/x
  3. Step 3: Cross multiply
    47,432.80x = 71,152.80 × 14,150.26
  4. Step 4: Simplify right side
    47,432.80x = 1,006,830,619.73
  5. Step 5: Solve for x
    x = 1,006,830,619.73/47,432.80
  6. Step 6: Final answer
    x = 21,226.46

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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.