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Finding the Fourth Proportional to 30,197.47, 45,311.25 and 13,569.38

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Solution

The fourth proportional to 30,197.47, 45,311.25 and 13,569.38 is: 20,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.47 : 45,311.25 = 13,569.38 : x
  2. Step 2: Convert to fraction form
    30,197.47/45,311.25 = 13,569.38/x
  3. Step 3: Cross multiply
    30,197.47x = 45,311.25 × 13,569.38
  4. Step 4: Simplify right side
    30,197.47x = 614,845,569.53
  5. Step 5: Solve for x
    x = 614,845,569.53/30,197.47
  6. Step 6: Final answer
    x = 20,360.83

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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.