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Finding the Fourth Proportional to 32,446.16, 48,674.28 and 13,726.24

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Solution

The fourth proportional to 32,446.16, 48,674.28 and 13,726.24 is: 20,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.16 : 48,674.28 = 13,726.24 : x
  2. Step 2: Convert to fraction form
    32,446.16/48,674.28 = 13,726.24/x
  3. Step 3: Cross multiply
    32,446.16x = 48,674.28 × 13,726.24
  4. Step 4: Simplify right side
    32,446.16x = 668,114,849.11
  5. Step 5: Solve for x
    x = 668,114,849.11/32,446.16
  6. Step 6: Final answer
    x = 20,591.49

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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.