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Finding the Fourth Proportional to 32,862.47, 49,323 and 15,342.17

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Solution

The fourth proportional to 32,862.47, 49,323 and 15,342.17 is: 23,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.47 : 49,323 = 15,342.17 : x
  2. Step 2: Convert to fraction form
    32,862.47/49,323 = 15,342.17/x
  3. Step 3: Cross multiply
    32,862.47x = 49,323 × 15,342.17
  4. Step 4: Simplify right side
    32,862.47x = 756,721,850.91
  5. Step 5: Solve for x
    x = 756,721,850.91/32,862.47
  6. Step 6: Final answer
    x = 23,026.93

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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.