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Finding the Fourth Proportional to 32,492.80, 48,744.33 and 13,772.89

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Solution

The fourth proportional to 32,492.80, 48,744.33 and 13,772.89 is: 20,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.80 : 48,744.33 = 13,772.89 : x
  2. Step 2: Convert to fraction form
    32,492.80/48,744.33 = 13,772.89/x
  3. Step 3: Cross multiply
    32,492.80x = 48,744.33 × 13,772.89
  4. Step 4: Simplify right side
    32,492.80x = 671,350,295.21
  5. Step 5: Solve for x
    x = 671,350,295.21/32,492.80
  6. Step 6: Final answer
    x = 20,661.51

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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.