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Finding the Fourth Proportional to 32,862.47, 49,317.47 and 13,146.53

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Solution

The fourth proportional to 32,862.47, 49,317.47 and 13,146.53 is: 19,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.47 : 49,317.47 = 13,146.53 : x
  2. Step 2: Convert to fraction form
    32,862.47/49,317.47 = 13,146.53/x
  3. Step 3: Cross multiply
    32,862.47x = 49,317.47 × 13,146.53
  4. Step 4: Simplify right side
    32,862.47x = 648,353,286.56
  5. Step 5: Solve for x
    x = 648,353,286.56/32,862.47
  6. Step 6: Final answer
    x = 19,729.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.