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Finding the Fourth Proportional to 59,641.32, 82,309.32 and 35,767.56

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Solution

The fourth proportional to 59,641.32, 82,309.32 and 35,767.56 is: 49,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,641.32 : 82,309.32 = 35,767.56 : x
  2. Step 2: Convert to fraction form
    59,641.32/82,309.32 = 35,767.56/x
  3. Step 3: Cross multiply
    59,641.32x = 82,309.32 × 35,767.56
  4. Step 4: Simplify right side
    59,641.32x = 2,944,003,541.66
  5. Step 5: Solve for x
    x = 2,944,003,541.66/59,641.32
  6. Step 6: Final answer
    x = 49,361.81

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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.