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Finding the Fourth Proportional to 42,322.38, 58,406.78 and 24,174.68

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Solution

The fourth proportional to 42,322.38, 58,406.78 and 24,174.68 is: 33,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.38 : 58,406.78 = 24,174.68 : x
  2. Step 2: Convert to fraction form
    42,322.38/58,406.78 = 24,174.68/x
  3. Step 3: Cross multiply
    42,322.38x = 58,406.78 × 24,174.68
  4. Step 4: Simplify right side
    42,322.38x = 1,411,965,216.33
  5. Step 5: Solve for x
    x = 1,411,965,216.33/42,322.38
  6. Step 6: Final answer
    x = 33,362.14

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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.