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Finding the Fourth Proportional to 52,332.63, 78,847.92 and 47,340.80

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Solution

The fourth proportional to 52,332.63, 78,847.92 and 47,340.80 is: 71,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332.63 : 78,847.92 = 47,340.80 : x
  2. Step 2: Convert to fraction form
    52,332.63/78,847.92 = 47,340.80/x
  3. Step 3: Cross multiply
    52,332.63x = 78,847.92 × 47,340.80
  4. Step 4: Simplify right side
    52,332.63x = 3,732,723,611.14
  5. Step 5: Solve for x
    x = 3,732,723,611.14/52,332.63
  6. Step 6: Final answer
    x = 71,326.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.