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Finding the Fourth Proportional to 77,828.16, 107,401.92 and 44,293.92

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Solution

The fourth proportional to 77,828.16, 107,401.92 and 44,293.92 is: 61,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,828.16 : 107,401.92 = 44,293.92 : x
  2. Step 2: Convert to fraction form
    77,828.16/107,401.92 = 44,293.92/x
  3. Step 3: Cross multiply
    77,828.16x = 107,401.92 × 44,293.92
  4. Step 4: Simplify right side
    77,828.16x = 4,757,252,052.33
  5. Step 5: Solve for x
    x = 4,757,252,052.33/77,828.16
  6. Step 6: Final answer
    x = 61,125.07

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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.