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Finding the Fourth Proportional to 41,204.70, 61,803.45 and 13,502.70

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Solution

The fourth proportional to 41,204.70, 61,803.45 and 13,502.70 is: 20,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.70 : 61,803.45 = 13,502.70 : x
  2. Step 2: Convert to fraction form
    41,204.70/61,803.45 = 13,502.70/x
  3. Step 3: Cross multiply
    41,204.70x = 61,803.45 × 13,502.70
  4. Step 4: Simplify right side
    41,204.70x = 834,513,444.32
  5. Step 5: Solve for x
    x = 834,513,444.32/41,204.70
  6. Step 6: Final answer
    x = 20,252.87

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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.