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Finding the Fourth Proportional to 52,382.68, 78,573.30 and 22,799.86

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Solution

The fourth proportional to 52,382.68, 78,573.30 and 22,799.86 is: 34,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.68 : 78,573.30 = 22,799.86 : x
  2. Step 2: Convert to fraction form
    52,382.68/78,573.30 = 22,799.86/x
  3. Step 3: Cross multiply
    52,382.68x = 78,573.30 × 22,799.86
  4. Step 4: Simplify right side
    52,382.68x = 1,791,460,239.74
  5. Step 5: Solve for x
    x = 1,791,460,239.74/52,382.68
  6. Step 6: Final answer
    x = 34,199.48

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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.