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Finding the Fourth Proportional to 59,853, 89,779.50 and 22,917

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Solution

The fourth proportional to 59,853, 89,779.50 and 22,917 is: 34,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,853 : 89,779.50 = 22,917 : x
  2. Step 2: Convert to fraction form
    59,853/89,779.50 = 22,917/x
  3. Step 3: Cross multiply
    59,853x = 89,779.50 × 22,917
  4. Step 4: Simplify right side
    59,853x = 2,057,476,801.50
  5. Step 5: Solve for x
    x = 2,057,476,801.50/59,853
  6. Step 6: Final answer
    x = 34,375.50

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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.