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Finding the Fourth Proportional to 52,390.39, 78,584.81 and 12,947.50

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Solution

The fourth proportional to 52,390.39, 78,584.81 and 12,947.50 is: 19,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,390.39 : 78,584.81 = 12,947.50 : x
  2. Step 2: Convert to fraction form
    52,390.39/78,584.81 = 12,947.50/x
  3. Step 3: Cross multiply
    52,390.39x = 78,584.81 × 12,947.50
  4. Step 4: Simplify right side
    52,390.39x = 1,017,476,614.83
  5. Step 5: Solve for x
    x = 1,017,476,614.83/52,390.39
  6. Step 6: Final answer
    x = 19,421.06

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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.