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Finding the Fourth Proportional to 52,382.64, 78,659.72 and 34,399.92

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Solution

The fourth proportional to 52,382.64, 78,659.72 and 34,399.92 is: 51,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.64 : 78,659.72 = 34,399.92 : x
  2. Step 2: Convert to fraction form
    52,382.64/78,659.72 = 34,399.92/x
  3. Step 3: Cross multiply
    52,382.64x = 78,659.72 × 34,399.92
  4. Step 4: Simplify right side
    52,382.64x = 2,705,888,075.22
  5. Step 5: Solve for x
    x = 2,705,888,075.22/52,382.64
  6. Step 6: Final answer
    x = 51,656.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.