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Finding the Fourth Proportional to 59,833, 89,753.82 and 22,897

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Solution

The fourth proportional to 59,833, 89,753.82 and 22,897 is: 34,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,833 : 89,753.82 = 22,897 : x
  2. Step 2: Convert to fraction form
    59,833/89,753.82 = 22,897/x
  3. Step 3: Cross multiply
    59,833x = 89,753.82 × 22,897
  4. Step 4: Simplify right side
    59,833x = 2,055,093,216.54
  5. Step 5: Solve for x
    x = 2,055,093,216.54/59,833
  6. Step 6: Final answer
    x = 34,347.15

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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.