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Finding the Fourth Proportional to 83,144.88, 114,742.45 and 45,421.56

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Solution

The fourth proportional to 83,144.88, 114,742.45 and 45,421.56 is: 62,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.88 : 114,742.45 = 45,421.56 : x
  2. Step 2: Convert to fraction form
    83,144.88/114,742.45 = 45,421.56/x
  3. Step 3: Cross multiply
    83,144.88x = 114,742.45 × 45,421.56
  4. Step 4: Simplify right side
    83,144.88x = 5,211,781,077.22
  5. Step 5: Solve for x
    x = 5,211,781,077.22/83,144.88
  6. Step 6: Final answer
    x = 62,683.13

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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.