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Finding the Fourth Proportional to 75,586.80, 113,423.40 and 28,873.20

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Solution

The fourth proportional to 75,586.80, 113,423.40 and 28,873.20 is: 43,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586.80 : 113,423.40 = 28,873.20 : x
  2. Step 2: Convert to fraction form
    75,586.80/113,423.40 = 28,873.20/x
  3. Step 3: Cross multiply
    75,586.80x = 113,423.40 × 28,873.20
  4. Step 4: Simplify right side
    75,586.80x = 3,274,896,512.88
  5. Step 5: Solve for x
    x = 3,274,896,512.88/75,586.80
  6. Step 6: Final answer
    x = 43,326.30

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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.