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Finding the Fourth Proportional to 105,462.80, 158,092.44 and 35,303.12

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Solution

The fourth proportional to 105,462.80, 158,092.44 and 35,303.12 is: 52,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,462.80 : 158,092.44 = 35,303.12 : x
  2. Step 2: Convert to fraction form
    105,462.80/158,092.44 = 35,303.12/x
  3. Step 3: Cross multiply
    105,462.80x = 158,092.44 × 35,303.12
  4. Step 4: Simplify right side
    105,462.80x = 5,581,156,380.41
  5. Step 5: Solve for x
    x = 5,581,156,380.41/105,462.80
  6. Step 6: Final answer
    x = 52,920.62

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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.