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Finding the Fourth Proportional to 29,498.60, 40,708.38 and 16,069.96

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Solution

The fourth proportional to 29,498.60, 40,708.38 and 16,069.96 is: 22,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498.60 : 40,708.38 = 16,069.96 : x
  2. Step 2: Convert to fraction form
    29,498.60/40,708.38 = 16,069.96/x
  3. Step 3: Cross multiply
    29,498.60x = 40,708.38 × 16,069.96
  4. Step 4: Simplify right side
    29,498.60x = 654,182,038.26
  5. Step 5: Solve for x
    x = 654,182,038.26/29,498.60
  6. Step 6: Final answer
    x = 22,176.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.