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Finding the Fourth Proportional to 30,549.76, 42,165.12 and 28,178.08

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Solution

The fourth proportional to 30,549.76, 42,165.12 and 28,178.08 is: 38,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.76 : 42,165.12 = 28,178.08 : x
  2. Step 2: Convert to fraction form
    30,549.76/42,165.12 = 28,178.08/x
  3. Step 3: Cross multiply
    30,549.76x = 42,165.12 × 28,178.08
  4. Step 4: Simplify right side
    30,549.76x = 1,188,132,124.57
  5. Step 5: Solve for x
    x = 1,188,132,124.57/30,549.76
  6. Step 6: Final answer
    x = 38,891.70

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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.