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Finding the Fourth Proportional to 32,653, 45,061.20 and 17,749

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Solution

The fourth proportional to 32,653, 45,061.20 and 17,749 is: 24,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,653 : 45,061.20 = 17,749 : x
  2. Step 2: Convert to fraction form
    32,653/45,061.20 = 17,749/x
  3. Step 3: Cross multiply
    32,653x = 45,061.20 × 17,749
  4. Step 4: Simplify right side
    32,653x = 799,791,238.80
  5. Step 5: Solve for x
    x = 799,791,238.80/32,653
  6. Step 6: Final answer
    x = 24,493.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.