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Finding the Fourth Proportional to 55,381.50, 83,071.46 and 25,782.78

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Solution

The fourth proportional to 55,381.50, 83,071.46 and 25,782.78 is: 38,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,381.50 : 83,071.46 = 25,782.78 : x
  2. Step 2: Convert to fraction form
    55,381.50/83,071.46 = 25,782.78/x
  3. Step 3: Cross multiply
    55,381.50x = 83,071.46 × 25,782.78
  4. Step 4: Simplify right side
    55,381.50x = 2,141,813,177.46
  5. Step 5: Solve for x
    x = 2,141,813,177.46/55,381.50
  6. Step 6: Final answer
    x = 38,673.80

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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.