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Finding the Fourth Proportional to 92,049.74, 138,076.32 and 28,868.46

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Solution

The fourth proportional to 92,049.74, 138,076.32 and 28,868.46 is: 43,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,049.74 : 138,076.32 = 28,868.46 : x
  2. Step 2: Convert to fraction form
    92,049.74/138,076.32 = 28,868.46/x
  3. Step 3: Cross multiply
    92,049.74x = 138,076.32 × 28,868.46
  4. Step 4: Simplify right side
    92,049.74x = 3,986,050,720.87
  5. Step 5: Solve for x
    x = 3,986,050,720.87/92,049.74
  6. Step 6: Final answer
    x = 43,303.23

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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.