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Finding the Fourth Proportional to 40,178.80, 60,275.76 and 16,164.91

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Solution

The fourth proportional to 40,178.80, 60,275.76 and 16,164.91 is: 24,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178.80 : 60,275.76 = 16,164.91 : x
  2. Step 2: Convert to fraction form
    40,178.80/60,275.76 = 16,164.91/x
  3. Step 3: Cross multiply
    40,178.80x = 60,275.76 × 16,164.91
  4. Step 4: Simplify right side
    40,178.80x = 974,352,235.58
  5. Step 5: Solve for x
    x = 974,352,235.58/40,178.80
  6. Step 6: Final answer
    x = 24,250.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.