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Finding the Fourth Proportional to 42,862.63, 59,136.76 and 27,766.86

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Solution

The fourth proportional to 42,862.63, 59,136.76 and 27,766.86 is: 38,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,862.63 : 59,136.76 = 27,766.86 : x
  2. Step 2: Convert to fraction form
    42,862.63/59,136.76 = 27,766.86/x
  3. Step 3: Cross multiply
    42,862.63x = 59,136.76 × 27,766.86
  4. Step 4: Simplify right side
    42,862.63x = 1,642,041,996.94
  5. Step 5: Solve for x
    x = 1,642,041,996.94/42,862.63
  6. Step 6: Final answer
    x = 38,309.41

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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.