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Finding the Fourth Proportional to 50,776.76, 70,062.16 and 32,869.28

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Solution

The fourth proportional to 50,776.76, 70,062.16 and 32,869.28 is: 45,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776.76 : 70,062.16 = 32,869.28 : x
  2. Step 2: Convert to fraction form
    50,776.76/70,062.16 = 32,869.28/x
  3. Step 3: Cross multiply
    50,776.76x = 70,062.16 × 32,869.28
  4. Step 4: Simplify right side
    50,776.76x = 2,302,892,754.44
  5. Step 5: Solve for x
    x = 2,302,892,754.44/50,776.76
  6. Step 6: Final answer
    x = 45,353.28

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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.