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Finding the Fourth Proportional to 61,597, 85,003.86 and 33,302.69

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Solution

The fourth proportional to 61,597, 85,003.86 and 33,302.69 is: 45,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,597 : 85,003.86 = 33,302.69 : x
  2. Step 2: Convert to fraction form
    61,597/85,003.86 = 33,302.69/x
  3. Step 3: Cross multiply
    61,597x = 85,003.86 × 33,302.69
  4. Step 4: Simplify right side
    61,597x = 2,830,857,198.38
  5. Step 5: Solve for x
    x = 2,830,857,198.38/61,597
  6. Step 6: Final answer
    x = 45,957.71

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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.