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Finding the Fourth Proportional to 29,106.40, 40,167.19 and 16,358.83

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Solution

The fourth proportional to 29,106.40, 40,167.19 and 16,358.83 is: 22,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106.40 : 40,167.19 = 16,358.83 : x
  2. Step 2: Convert to fraction form
    29,106.40/40,167.19 = 16,358.83/x
  3. Step 3: Cross multiply
    29,106.40x = 40,167.19 × 16,358.83
  4. Step 4: Simplify right side
    29,106.40x = 657,088,378.76
  5. Step 5: Solve for x
    x = 657,088,378.76/29,106.40
  6. Step 6: Final answer
    x = 22,575.39

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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.