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Finding the Fourth Proportional to 83,091.84, 114,676.80 and 47,290.56

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Solution

The fourth proportional to 83,091.84, 114,676.80 and 47,290.56 is: 65,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.84 : 114,676.80 = 47,290.56 : x
  2. Step 2: Convert to fraction form
    83,091.84/114,676.80 = 47,290.56/x
  3. Step 3: Cross multiply
    83,091.84x = 114,676.80 × 47,290.56
  4. Step 4: Simplify right side
    83,091.84x = 5,423,130,091.01
  5. Step 5: Solve for x
    x = 5,423,130,091.01/83,091.84
  6. Step 6: Final answer
    x = 65,266.70

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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.