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Finding the Fourth Proportional to 83,173.50, 114,779.28 and 47,363.52

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Solution

The fourth proportional to 83,173.50, 114,779.28 and 47,363.52 is: 65,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,173.50 : 114,779.28 = 47,363.52 : x
  2. Step 2: Convert to fraction form
    83,173.50/114,779.28 = 47,363.52/x
  3. Step 3: Cross multiply
    83,173.50x = 114,779.28 × 47,363.52
  4. Step 4: Simplify right side
    83,173.50x = 5,436,350,723.87
  5. Step 5: Solve for x
    x = 5,436,350,723.87/83,173.50
  6. Step 6: Final answer
    x = 65,361.57

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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.