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Finding the Fourth Proportional to 77,393.96, 106,758.30 and 48,668.05

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Solution

The fourth proportional to 77,393.96, 106,758.30 and 48,668.05 is: 67,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,393.96 : 106,758.30 = 48,668.05 : x
  2. Step 2: Convert to fraction form
    77,393.96/106,758.30 = 48,668.05/x
  3. Step 3: Cross multiply
    77,393.96x = 106,758.30 × 48,668.05
  4. Step 4: Simplify right side
    77,393.96x = 5,195,718,282.32
  5. Step 5: Solve for x
    x = 5,195,718,282.32/77,393.96
  6. Step 6: Final answer
    x = 67,133.38

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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.