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Finding the Fourth Proportional to 29,054.69, 43,582.13 and 8,278.19

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Solution

The fourth proportional to 29,054.69, 43,582.13 and 8,278.19 is: 12,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054.69 : 43,582.13 = 8,278.19 : x
  2. Step 2: Convert to fraction form
    29,054.69/43,582.13 = 8,278.19/x
  3. Step 3: Cross multiply
    29,054.69x = 43,582.13 × 8,278.19
  4. Step 4: Simplify right side
    29,054.69x = 360,781,152.74
  5. Step 5: Solve for x
    x = 360,781,152.74/29,054.69
  6. Step 6: Final answer
    x = 12,417.31

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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.