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Finding the Fourth Proportional to 52,129.59, 78,194.52 and 12,686.64

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Solution

The fourth proportional to 52,129.59, 78,194.52 and 12,686.64 is: 19,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.59 : 78,194.52 = 12,686.64 : x
  2. Step 2: Convert to fraction form
    52,129.59/78,194.52 = 12,686.64/x
  3. Step 3: Cross multiply
    52,129.59x = 78,194.52 × 12,686.64
  4. Step 4: Simplify right side
    52,129.59x = 992,025,725.21
  5. Step 5: Solve for x
    x = 992,025,725.21/52,129.59
  6. Step 6: Final answer
    x = 19,029.99

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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.