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Finding the Fourth Proportional to 42,909.90, 59,212.42 and 24,043.38

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Solution

The fourth proportional to 42,909.90, 59,212.42 and 24,043.38 is: 33,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.90 : 59,212.42 = 24,043.38 : x
  2. Step 2: Convert to fraction form
    42,909.90/59,212.42 = 24,043.38/x
  3. Step 3: Cross multiply
    42,909.90x = 59,212.42 × 24,043.38
  4. Step 4: Simplify right side
    42,909.90x = 1,423,666,714.78
  5. Step 5: Solve for x
    x = 1,423,666,714.78/42,909.90
  6. Step 6: Final answer
    x = 33,178.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.