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Finding the Fourth Proportional to 41,184.68, 56,838.38 and 23,282.87

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Solution

The fourth proportional to 41,184.68, 56,838.38 and 23,282.87 is: 32,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184.68 : 56,838.38 = 23,282.87 : x
  2. Step 2: Convert to fraction form
    41,184.68/56,838.38 = 23,282.87/x
  3. Step 3: Cross multiply
    41,184.68x = 56,838.38 × 23,282.87
  4. Step 4: Simplify right side
    41,184.68x = 1,323,360,211.94
  5. Step 5: Solve for x
    x = 1,323,360,211.94/41,184.68
  6. Step 6: Final answer
    x = 32,132.35

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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.