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Finding the Fourth Proportional to 83,129.50, 114,719.32 and 45,403.75

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Solution

The fourth proportional to 83,129.50, 114,719.32 and 45,403.75 is: 62,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.50 : 114,719.32 = 45,403.75 : x
  2. Step 2: Convert to fraction form
    83,129.50/114,719.32 = 45,403.75/x
  3. Step 3: Cross multiply
    83,129.50x = 114,719.32 × 45,403.75
  4. Step 4: Simplify right side
    83,129.50x = 5,208,687,325.45
  5. Step 5: Solve for x
    x = 5,208,687,325.45/83,129.50
  6. Step 6: Final answer
    x = 62,657.51

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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.