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Finding the Fourth Proportional to 52,033.96, 78,051.40 and 12,591.12

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Solution

The fourth proportional to 52,033.96, 78,051.40 and 12,591.12 is: 18,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.96 : 78,051.40 = 12,591.12 : x
  2. Step 2: Convert to fraction form
    52,033.96/78,051.40 = 12,591.12/x
  3. Step 3: Cross multiply
    52,033.96x = 78,051.40 × 12,591.12
  4. Step 4: Simplify right side
    52,033.96x = 982,754,543.57
  5. Step 5: Solve for x
    x = 982,754,543.57/52,033.96
  6. Step 6: Final answer
    x = 18,886.79

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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.