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Finding the Fourth Proportional to 74,165.52, 102,347.82 and 40,173.22

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Solution

The fourth proportional to 74,165.52, 102,347.82 and 40,173.22 is: 55,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,165.52 : 102,347.82 = 40,173.22 : x
  2. Step 2: Convert to fraction form
    74,165.52/102,347.82 = 40,173.22/x
  3. Step 3: Cross multiply
    74,165.52x = 102,347.82 × 40,173.22
  4. Step 4: Simplify right side
    74,165.52x = 4,111,641,489.38
  5. Step 5: Solve for x
    x = 4,111,641,489.38/74,165.52
  6. Step 6: Final answer
    x = 55,438.72

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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.