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Finding the Fourth Proportional to 54,909.86, 75,774.93 and 29,758.82

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Solution

The fourth proportional to 54,909.86, 75,774.93 and 29,758.82 is: 41,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.86 : 75,774.93 = 29,758.82 : x
  2. Step 2: Convert to fraction form
    54,909.86/75,774.93 = 29,758.82/x
  3. Step 3: Cross multiply
    54,909.86x = 75,774.93 × 29,758.82
  4. Step 4: Simplify right side
    54,909.86x = 2,254,972,502.38
  5. Step 5: Solve for x
    x = 2,254,972,502.38/54,909.86
  6. Step 6: Final answer
    x = 41,066.80

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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.