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Finding the Fourth Proportional to 61,770.49, 85,242.66 and 34,546.28

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Solution

The fourth proportional to 61,770.49, 85,242.66 and 34,546.28 is: 47,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770.49 : 85,242.66 = 34,546.28 : x
  2. Step 2: Convert to fraction form
    61,770.49/85,242.66 = 34,546.28/x
  3. Step 3: Cross multiply
    61,770.49x = 85,242.66 × 34,546.28
  4. Step 4: Simplify right side
    61,770.49x = 2,944,816,503.64
  5. Step 5: Solve for x
    x = 2,944,816,503.64/61,770.49
  6. Step 6: Final answer
    x = 47,673.52

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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.