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Finding the Fourth Proportional to 85,042.98, 127,570.95 and 25,883.70

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Solution

The fourth proportional to 85,042.98, 127,570.95 and 25,883.70 is: 38,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,042.98 : 127,570.95 = 25,883.70 : x
  2. Step 2: Convert to fraction form
    85,042.98/127,570.95 = 25,883.70/x
  3. Step 3: Cross multiply
    85,042.98x = 127,570.95 × 25,883.70
  4. Step 4: Simplify right side
    85,042.98x = 3,302,008,198.52
  5. Step 5: Solve for x
    x = 3,302,008,198.52/85,042.98
  6. Step 6: Final answer
    x = 38,827.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.