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Finding the Fourth Proportional to 75,137.80, 103,683.18 and 44,917.24

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Solution

The fourth proportional to 75,137.80, 103,683.18 and 44,917.24 is: 61,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.80 : 103,683.18 = 44,917.24 : x
  2. Step 2: Convert to fraction form
    75,137.80/103,683.18 = 44,917.24/x
  3. Step 3: Cross multiply
    75,137.80x = 103,683.18 × 44,917.24
  4. Step 4: Simplify right side
    75,137.80x = 4,657,162,280.02
  5. Step 5: Solve for x
    x = 4,657,162,280.02/75,137.80
  6. Step 6: Final answer
    x = 61,981.62

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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.