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Finding the Fourth Proportional to 83,186.67, 114,784.34 and 47,377.35

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Solution

The fourth proportional to 83,186.67, 114,784.34 and 47,377.35 is: 65,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.67 : 114,784.34 = 47,377.35 : x
  2. Step 2: Convert to fraction form
    83,186.67/114,784.34 = 47,377.35/x
  3. Step 3: Cross multiply
    83,186.67x = 114,784.34 × 47,377.35
  4. Step 4: Simplify right side
    83,186.67x = 5,438,177,613.81
  5. Step 5: Solve for x
    x = 5,438,177,613.81/83,186.67
  6. Step 6: Final answer
    x = 65,373.19

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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.