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Finding the Fourth Proportional to 105,366.75, 158,017.32 and 35,229.66

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Solution

The fourth proportional to 105,366.75, 158,017.32 and 35,229.66 is: 52,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,366.75 : 158,017.32 = 35,229.66 : x
  2. Step 2: Convert to fraction form
    105,366.75/158,017.32 = 35,229.66/x
  3. Step 3: Cross multiply
    105,366.75x = 158,017.32 × 35,229.66
  4. Step 4: Simplify right side
    105,366.75x = 5,566,896,457.71
  5. Step 5: Solve for x
    x = 5,566,896,457.71/105,366.75
  6. Step 6: Final answer
    x = 52,833.52

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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.