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Finding the Fourth Proportional to 30,691.12, 46,037.68 and 8,502.60

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Solution

The fourth proportional to 30,691.12, 46,037.68 and 8,502.60 is: 12,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.12 : 46,037.68 = 8,502.60 : x
  2. Step 2: Convert to fraction form
    30,691.12/46,037.68 = 8,502.60/x
  3. Step 3: Cross multiply
    30,691.12x = 46,037.68 × 8,502.60
  4. Step 4: Simplify right side
    30,691.12x = 391,439,977.97
  5. Step 5: Solve for x
    x = 391,439,977.97/30,691.12
  6. Step 6: Final answer
    x = 12,754.18

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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.