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Finding the Fourth Proportional to 52,049.70, 71,828.51 and 28,176.37

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Solution

The fourth proportional to 52,049.70, 71,828.51 and 28,176.37 is: 38,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.70 : 71,828.51 = 28,176.37 : x
  2. Step 2: Convert to fraction form
    52,049.70/71,828.51 = 28,176.37/x
  3. Step 3: Cross multiply
    52,049.70x = 71,828.51 × 28,176.37
  4. Step 4: Simplify right side
    52,049.70x = 2,023,866,353.86
  5. Step 5: Solve for x
    x = 2,023,866,353.86/52,049.70
  6. Step 6: Final answer
    x = 38,883.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.