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Finding the Fourth Proportional to 51,769.16, 77,692.32 and 38,472.80

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Solution

The fourth proportional to 51,769.16, 77,692.32 and 38,472.80 is: 57,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.16 : 77,692.32 = 38,472.80 : x
  2. Step 2: Convert to fraction form
    51,769.16/77,692.32 = 38,472.80/x
  3. Step 3: Cross multiply
    51,769.16x = 77,692.32 × 38,472.80
  4. Step 4: Simplify right side
    51,769.16x = 2,989,041,088.90
  5. Step 5: Solve for x
    x = 2,989,041,088.90/51,769.16
  6. Step 6: Final answer
    x = 57,737.87

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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.