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Finding the Fourth Proportional to 74,322.38, 102,561.44 and 42,058.46

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Solution

The fourth proportional to 74,322.38, 102,561.44 and 42,058.46 is: 58,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322.38 : 102,561.44 = 42,058.46 : x
  2. Step 2: Convert to fraction form
    74,322.38/102,561.44 = 42,058.46/x
  3. Step 3: Cross multiply
    74,322.38x = 102,561.44 × 42,058.46
  4. Step 4: Simplify right side
    74,322.38x = 4,313,576,221.78
  5. Step 5: Solve for x
    x = 4,313,576,221.78/74,322.38
  6. Step 6: Final answer
    x = 58,038.73

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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.