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Finding the Fourth Proportional to 74,000.72, 102,118.92 and 40,466

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Solution

The fourth proportional to 74,000.72, 102,118.92 and 40,466 is: 55,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000.72 : 102,118.92 = 40,466 : x
  2. Step 2: Convert to fraction form
    74,000.72/102,118.92 = 40,466/x
  3. Step 3: Cross multiply
    74,000.72x = 102,118.92 × 40,466
  4. Step 4: Simplify right side
    74,000.72x = 4,132,344,216.72
  5. Step 5: Solve for x
    x = 4,132,344,216.72/74,000.72
  6. Step 6: Final answer
    x = 55,841.95

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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.