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Finding the Fourth Proportional to 83,037.84, 114,559.56 and 52,815.12

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Solution

The fourth proportional to 83,037.84, 114,559.56 and 52,815.12 is: 72,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037.84 : 114,559.56 = 52,815.12 : x
  2. Step 2: Convert to fraction form
    83,037.84/114,559.56 = 52,815.12/x
  3. Step 3: Cross multiply
    83,037.84x = 114,559.56 × 52,815.12
  4. Step 4: Simplify right side
    83,037.84x = 6,050,476,908.55
  5. Step 5: Solve for x
    x = 6,050,476,908.55/83,037.84
  6. Step 6: Final answer
    x = 72,864.09

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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.