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Finding the Fourth Proportional to 81,447.84, 112,395.30 and 45,147.76

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Solution

The fourth proportional to 81,447.84, 112,395.30 and 45,147.76 is: 62,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,447.84 : 112,395.30 = 45,147.76 : x
  2. Step 2: Convert to fraction form
    81,447.84/112,395.30 = 45,147.76/x
  3. Step 3: Cross multiply
    81,447.84x = 112,395.30 × 45,147.76
  4. Step 4: Simplify right side
    81,447.84x = 5,074,396,029.53
  5. Step 5: Solve for x
    x = 5,074,396,029.53/81,447.84
  6. Step 6: Final answer
    x = 62,302.40

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