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Finding the Fourth Proportional to 83,187.32, 114,799.34 and 45,461.57

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Solution

The fourth proportional to 83,187.32, 114,799.34 and 45,461.57 is: 62,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.32 : 114,799.34 = 45,461.57 : x
  2. Step 2: Convert to fraction form
    83,187.32/114,799.34 = 45,461.57/x
  3. Step 3: Cross multiply
    83,187.32x = 114,799.34 × 45,461.57
  4. Step 4: Simplify right side
    83,187.32x = 5,218,957,771.02
  5. Step 5: Solve for x
    x = 5,218,957,771.02/83,187.32
  6. Step 6: Final answer
    x = 62,737.42

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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.