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Finding the Fourth Proportional to 53,856.90, 80,768.34 and 49,854.69

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Solution

The fourth proportional to 53,856.90, 80,768.34 and 49,854.69 is: 74,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856.90 : 80,768.34 = 49,854.69 : x
  2. Step 2: Convert to fraction form
    53,856.90/80,768.34 = 49,854.69/x
  3. Step 3: Cross multiply
    53,856.90x = 80,768.34 × 49,854.69
  4. Step 4: Simplify right side
    53,856.90x = 4,026,680,552.51
  5. Step 5: Solve for x
    x = 4,026,680,552.51/53,856.90
  6. Step 6: Final answer
    x = 74,766.29

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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.