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Finding the Fourth Proportional to 77,049.36, 106,340.36 and 46,844.16

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Solution

The fourth proportional to 77,049.36, 106,340.36 and 46,844.16 is: 64,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.36 : 106,340.36 = 46,844.16 : x
  2. Step 2: Convert to fraction form
    77,049.36/106,340.36 = 46,844.16/x
  3. Step 3: Cross multiply
    77,049.36x = 106,340.36 × 46,844.16
  4. Step 4: Simplify right side
    77,049.36x = 4,981,424,838.30
  5. Step 5: Solve for x
    x = 4,981,424,838.30/77,049.36
  6. Step 6: Final answer
    x = 64,652.38

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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.