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Finding the Fourth Proportional to 72,214.93, 108,340.89 and 27,829.77

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Solution

The fourth proportional to 72,214.93, 108,340.89 and 27,829.77 is: 41,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,214.93 : 108,340.89 = 27,829.77 : x
  2. Step 2: Convert to fraction form
    72,214.93/108,340.89 = 27,829.77/x
  3. Step 3: Cross multiply
    72,214.93x = 108,340.89 × 27,829.77
  4. Step 4: Simplify right side
    72,214.93x = 3,015,102,050.30
  5. Step 5: Solve for x
    x = 3,015,102,050.30/72,214.93
  6. Step 6: Final answer
    x = 41,751.78

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1.5x scale

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.