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Finding the Fourth Proportional to 78,285.66, 117,422.16 and 22,123.50

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Solution

The fourth proportional to 78,285.66, 117,422.16 and 22,123.50 is: 33,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.66 : 117,422.16 = 22,123.50 : x
  2. Step 2: Convert to fraction form
    78,285.66/117,422.16 = 22,123.50/x
  3. Step 3: Cross multiply
    78,285.66x = 117,422.16 × 22,123.50
  4. Step 4: Simplify right side
    78,285.66x = 2,597,789,156.76
  5. Step 5: Solve for x
    x = 2,597,789,156.76/78,285.66
  6. Step 6: Final answer
    x = 33,183.46

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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.