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Finding the Fourth Proportional to 77,471.71, 106,921.39 and 43,482.06

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Solution

The fourth proportional to 77,471.71, 106,921.39 and 43,482.06 is: 60,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,471.71 : 106,921.39 = 43,482.06 : x
  2. Step 2: Convert to fraction form
    77,471.71/106,921.39 = 43,482.06/x
  3. Step 3: Cross multiply
    77,471.71x = 106,921.39 × 43,482.06
  4. Step 4: Simplify right side
    77,471.71x = 4,649,161,869.36
  5. Step 5: Solve for x
    x = 4,649,161,869.36/77,471.71
  6. Step 6: Final answer
    x = 60,011.09

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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.