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Finding the Fourth Proportional to 42,097.38, 58,074.35 and 25,091.84

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Solution

The fourth proportional to 42,097.38, 58,074.35 and 25,091.84 is: 34,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,097.38 : 58,074.35 = 25,091.84 : x
  2. Step 2: Convert to fraction form
    42,097.38/58,074.35 = 25,091.84/x
  3. Step 3: Cross multiply
    42,097.38x = 58,074.35 × 25,091.84
  4. Step 4: Simplify right side
    42,097.38x = 1,457,191,882.47
  5. Step 5: Solve for x
    x = 1,457,191,882.47/42,097.38
  6. Step 6: Final answer
    x = 34,614.79

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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.