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Finding the Fourth Proportional to 42,884, 59,179.92 and 24,021.08

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Solution

The fourth proportional to 42,884, 59,179.92 and 24,021.08 is: 33,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,884 : 59,179.92 = 24,021.08 : x
  2. Step 2: Convert to fraction form
    42,884/59,179.92 = 24,021.08/x
  3. Step 3: Cross multiply
    42,884x = 59,179.92 × 24,021.08
  4. Step 4: Simplify right side
    42,884x = 1,421,565,592.71
  5. Step 5: Solve for x
    x = 1,421,565,592.71/42,884
  6. Step 6: Final answer
    x = 33,149.09

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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.