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Finding the Fourth Proportional to 42,158.76, 58,178.97 and 23,295.75

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Solution

The fourth proportional to 42,158.76, 58,178.97 and 23,295.75 is: 32,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,158.76 : 58,178.97 = 23,295.75 : x
  2. Step 2: Convert to fraction form
    42,158.76/58,178.97 = 23,295.75/x
  3. Step 3: Cross multiply
    42,158.76x = 58,178.97 × 23,295.75
  4. Step 4: Simplify right side
    42,158.76x = 1,355,322,740.38
  5. Step 5: Solve for x
    x = 1,355,322,740.38/42,158.76
  6. Step 6: Final answer
    x = 32,148.07

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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.