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Finding the Fourth Proportional to 92,089.38, 127,083.95 and 51,802.82

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Solution

The fourth proportional to 92,089.38, 127,083.95 and 51,802.82 is: 71,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,089.38 : 127,083.95 = 51,802.82 : x
  2. Step 2: Convert to fraction form
    92,089.38/127,083.95 = 51,802.82/x
  3. Step 3: Cross multiply
    92,089.38x = 127,083.95 × 51,802.82
  4. Step 4: Simplify right side
    92,089.38x = 6,583,306,986.74
  5. Step 5: Solve for x
    x = 6,583,306,986.74/92,089.38
  6. Step 6: Final answer
    x = 71,488.23

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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.