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Finding the Fourth Proportional to 42,771.92, 59,025.48 and 23,909.12

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Solution

The fourth proportional to 42,771.92, 59,025.48 and 23,909.12 is: 32,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771.92 : 59,025.48 = 23,909.12 : x
  2. Step 2: Convert to fraction form
    42,771.92/59,025.48 = 23,909.12/x
  3. Step 3: Cross multiply
    42,771.92x = 59,025.48 × 23,909.12
  4. Step 4: Simplify right side
    42,771.92x = 1,411,247,284.38
  5. Step 5: Solve for x
    x = 1,411,247,284.38/42,771.92
  6. Step 6: Final answer
    x = 32,994.71

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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.