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Finding the Fourth Proportional to 41,477.68, 57,221.10 and 28,044.16

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Solution

The fourth proportional to 41,477.68, 57,221.10 and 28,044.16 is: 38,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,477.68 : 57,221.10 = 28,044.16 : x
  2. Step 2: Convert to fraction form
    41,477.68/57,221.10 = 28,044.16/x
  3. Step 3: Cross multiply
    41,477.68x = 57,221.10 × 28,044.16
  4. Step 4: Simplify right side
    41,477.68x = 1,604,717,683.78
  5. Step 5: Solve for x
    x = 1,604,717,683.78/41,477.68
  6. Step 6: Final answer
    x = 38,688.70

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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.