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Finding the Fourth Proportional to 52,037.96, 78,057.42 and 12,595.14

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Solution

The fourth proportional to 52,037.96, 78,057.42 and 12,595.14 is: 18,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037.96 : 78,057.42 = 12,595.14 : x
  2. Step 2: Convert to fraction form
    52,037.96/78,057.42 = 12,595.14/x
  3. Step 3: Cross multiply
    52,037.96x = 78,057.42 × 12,595.14
  4. Step 4: Simplify right side
    52,037.96x = 983,144,132.94
  5. Step 5: Solve for x
    x = 983,144,132.94/52,037.96
  6. Step 6: Final answer
    x = 18,892.83

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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.