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Finding the Fourth Proportional to 47,777.64, 71,686.19 and 24,072.37

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Solution

The fourth proportional to 47,777.64, 71,686.19 and 24,072.37 is: 36,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.64 : 71,686.19 = 24,072.37 : x
  2. Step 2: Convert to fraction form
    47,777.64/71,686.19 = 24,072.37/x
  3. Step 3: Cross multiply
    47,777.64x = 71,686.19 × 24,072.37
  4. Step 4: Simplify right side
    47,777.64x = 1,725,656,489.57
  5. Step 5: Solve for x
    x = 1,725,656,489.57/47,777.64
  6. Step 6: Final answer
    x = 36,118.50

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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.