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Finding the Fourth Proportional to 83,039.84, 114,562.32 and 52,817.12

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Solution

The fourth proportional to 83,039.84, 114,562.32 and 52,817.12 is: 72,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.84 : 114,562.32 = 52,817.12 : x
  2. Step 2: Convert to fraction form
    83,039.84/114,562.32 = 52,817.12/x
  3. Step 3: Cross multiply
    83,039.84x = 114,562.32 × 52,817.12
  4. Step 4: Simplify right side
    83,039.84x = 6,050,851,802.92
  5. Step 5: Solve for x
    x = 6,050,851,802.92/83,039.84
  6. Step 6: Final answer
    x = 72,866.85

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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.