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Finding the Fourth Proportional to 39,422.70, 59,164.29 and 16,068.78

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Solution

The fourth proportional to 39,422.70, 59,164.29 and 16,068.78 is: 24,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,422.70 : 59,164.29 = 16,068.78 : x
  2. Step 2: Convert to fraction form
    39,422.70/59,164.29 = 16,068.78/x
  3. Step 3: Cross multiply
    39,422.70x = 59,164.29 × 16,068.78
  4. Step 4: Simplify right side
    39,422.70x = 950,697,959.87
  5. Step 5: Solve for x
    x = 950,697,959.87/39,422.70
  6. Step 6: Final answer
    x = 24,115.50

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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.