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Finding the Fourth Proportional to 41,280.71, 56,984.82 and 27,870.13

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Solution

The fourth proportional to 41,280.71, 56,984.82 and 27,870.13 is: 38,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280.71 : 56,984.82 = 27,870.13 : x
  2. Step 2: Convert to fraction form
    41,280.71/56,984.82 = 27,870.13/x
  3. Step 3: Cross multiply
    41,280.71x = 56,984.82 × 27,870.13
  4. Step 4: Simplify right side
    41,280.71x = 1,588,174,341.43
  5. Step 5: Solve for x
    x = 1,588,174,341.43/41,280.71
  6. Step 6: Final answer
    x = 38,472.55

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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.