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Finding the Fourth Proportional to 75,246.95, 112,879.83 and 27,854.04

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Solution

The fourth proportional to 75,246.95, 112,879.83 and 27,854.04 is: 41,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.95 : 112,879.83 = 27,854.04 : x
  2. Step 2: Convert to fraction form
    75,246.95/112,879.83 = 27,854.04/x
  3. Step 3: Cross multiply
    75,246.95x = 112,879.83 × 27,854.04
  4. Step 4: Simplify right side
    75,246.95x = 3,144,159,300.01
  5. Step 5: Solve for x
    x = 3,144,159,300.01/75,246.95
  6. Step 6: Final answer
    x = 41,784.54

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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.