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Finding the Fourth Proportional to 77,842.96, 107,425.92 and 46,039.12

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Solution

The fourth proportional to 77,842.96, 107,425.92 and 46,039.12 is: 63,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.96 : 107,425.92 = 46,039.12 : x
  2. Step 2: Convert to fraction form
    77,842.96/107,425.92 = 46,039.12/x
  3. Step 3: Cross multiply
    77,842.96x = 107,425.92 × 46,039.12
  4. Step 4: Simplify right side
    77,842.96x = 4,945,794,821.99
  5. Step 5: Solve for x
    x = 4,945,794,821.99/77,842.96
  6. Step 6: Final answer
    x = 63,535.54

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1.5x scale

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.