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Finding the Fourth Proportional to 71,807, 107,714.82 and 22,559

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Solution

The fourth proportional to 71,807, 107,714.82 and 22,559 is: 33,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807 : 107,714.82 = 22,559 : x
  2. Step 2: Convert to fraction form
    71,807/107,714.82 = 22,559/x
  3. Step 3: Cross multiply
    71,807x = 107,714.82 × 22,559
  4. Step 4: Simplify right side
    71,807x = 2,429,938,624.38
  5. Step 5: Solve for x
    x = 2,429,938,624.38/71,807
  6. Step 6: Final answer
    x = 33,839.86

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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.