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Finding the Fourth Proportional to 74,685.92, 103,044.46 and 44,447

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Solution

The fourth proportional to 74,685.92, 103,044.46 and 44,447 is: 61,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,685.92 : 103,044.46 = 44,447 : x
  2. Step 2: Convert to fraction form
    74,685.92/103,044.46 = 44,447/x
  3. Step 3: Cross multiply
    74,685.92x = 103,044.46 × 44,447
  4. Step 4: Simplify right side
    74,685.92x = 4,580,017,113.62
  5. Step 5: Solve for x
    x = 4,580,017,113.62/74,685.92
  6. Step 6: Final answer
    x = 61,323.70

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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.