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Finding the Fourth Proportional to 32,373.84, 48,521.84 and 13,646.64

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Solution

The fourth proportional to 32,373.84, 48,521.84 and 13,646.64 is: 20,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373.84 : 48,521.84 = 13,646.64 : x
  2. Step 2: Convert to fraction form
    32,373.84/48,521.84 = 13,646.64/x
  3. Step 3: Cross multiply
    32,373.84x = 48,521.84 × 13,646.64
  4. Step 4: Simplify right side
    32,373.84x = 662,160,082.62
  5. Step 5: Solve for x
    x = 662,160,082.62/32,373.84
  6. Step 6: Final answer
    x = 20,453.55

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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.