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Finding the Fourth Proportional to 32,640.42, 48,984.66 and 14,891.16

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Solution

The fourth proportional to 32,640.42, 48,984.66 and 14,891.16 is: 22,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640.42 : 48,984.66 = 14,891.16 : x
  2. Step 2: Convert to fraction form
    32,640.42/48,984.66 = 14,891.16/x
  3. Step 3: Cross multiply
    32,640.42x = 48,984.66 × 14,891.16
  4. Step 4: Simplify right side
    32,640.42x = 729,438,409.61
  5. Step 5: Solve for x
    x = 729,438,409.61/32,640.42
  6. Step 6: Final answer
    x = 22,347.70

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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.