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Finding the Fourth Proportional to 56,251.83, 84,377.84 and 22,971.90

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Solution

The fourth proportional to 56,251.83, 84,377.84 and 22,971.90 is: 34,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,251.83 : 84,377.84 = 22,971.90 : x
  2. Step 2: Convert to fraction form
    56,251.83/84,377.84 = 22,971.90/x
  3. Step 3: Cross multiply
    56,251.83x = 84,377.84 × 22,971.90
  4. Step 4: Simplify right side
    56,251.83x = 1,938,319,504.25
  5. Step 5: Solve for x
    x = 1,938,319,504.25/56,251.83
  6. Step 6: Final answer
    x = 34,457.89

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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.