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Finding the Fourth Proportional to 29,547.38, 40,778.79 and 16,451.69

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Solution

The fourth proportional to 29,547.38, 40,778.79 and 16,451.69 is: 22,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.38 : 40,778.79 = 16,451.69 : x
  2. Step 2: Convert to fraction form
    29,547.38/40,778.79 = 16,451.69/x
  3. Step 3: Cross multiply
    29,547.38x = 40,778.79 × 16,451.69
  4. Step 4: Simplify right side
    29,547.38x = 670,879,869.45
  5. Step 5: Solve for x
    x = 670,879,869.45/29,547.38
  6. Step 6: Final answer
    x = 22,705.23

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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.