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Finding the Fourth Proportional to 105,731.80, 158,597.94 and 35,660.32

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Solution

The fourth proportional to 105,731.80, 158,597.94 and 35,660.32 is: 53,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731.80 : 158,597.94 = 35,660.32 : x
  2. Step 2: Convert to fraction form
    105,731.80/158,597.94 = 35,660.32/x
  3. Step 3: Cross multiply
    105,731.80x = 158,597.94 × 35,660.32
  4. Step 4: Simplify right side
    105,731.80x = 5,655,653,291.74
  5. Step 5: Solve for x
    x = 5,655,653,291.74/105,731.80
  6. Step 6: Final answer
    x = 53,490.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.