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Finding the Fourth Proportional to 29,042.86, 40,064.38 and 18,977.20

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Solution

The fourth proportional to 29,042.86, 40,064.38 and 18,977.20 is: 26,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042.86 : 40,064.38 = 18,977.20 : x
  2. Step 2: Convert to fraction form
    29,042.86/40,064.38 = 18,977.20/x
  3. Step 3: Cross multiply
    29,042.86x = 40,064.38 × 18,977.20
  4. Step 4: Simplify right side
    29,042.86x = 760,309,752.14
  5. Step 5: Solve for x
    x = 760,309,752.14/29,042.86
  6. Step 6: Final answer
    x = 26,178.89

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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.