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Finding the Fourth Proportional to 42,154.40, 63,231.60 and 21,159.20

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Solution

The fourth proportional to 42,154.40, 63,231.60 and 21,159.20 is: 31,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.40 : 63,231.60 = 21,159.20 : x
  2. Step 2: Convert to fraction form
    42,154.40/63,231.60 = 21,159.20/x
  3. Step 3: Cross multiply
    42,154.40x = 63,231.60 × 21,159.20
  4. Step 4: Simplify right side
    42,154.40x = 1,337,930,070.72
  5. Step 5: Solve for x
    x = 1,337,930,070.72/42,154.40
  6. Step 6: Final answer
    x = 31,738.80

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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.