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Finding the Fourth Proportional to 27,248.30, 40,981.80 and 24,405.20

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Solution

The fourth proportional to 27,248.30, 40,981.80 and 24,405.20 is: 36,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248.30 : 40,981.80 = 24,405.20 : x
  2. Step 2: Convert to fraction form
    27,248.30/40,981.80 = 24,405.20/x
  3. Step 3: Cross multiply
    27,248.30x = 40,981.80 × 24,405.20
  4. Step 4: Simplify right side
    27,248.30x = 1,000,169,025.36
  5. Step 5: Solve for x
    x = 1,000,169,025.36/27,248.30
  6. Step 6: Final answer
    x = 36,705.74

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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.