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Finding the Fourth Proportional to 105,803.66, 158,593.91 and 34,707.74

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Solution

The fourth proportional to 105,803.66, 158,593.91 and 34,707.74 is: 52,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.66 : 158,593.91 = 34,707.74 : x
  2. Step 2: Convert to fraction form
    105,803.66/158,593.91 = 34,707.74/x
  3. Step 3: Cross multiply
    105,803.66x = 158,593.91 × 34,707.74
  4. Step 4: Simplify right side
    105,803.66x = 5,504,435,227.36
  5. Step 5: Solve for x
    x = 5,504,435,227.36/105,803.66
  6. Step 6: Final answer
    x = 52,025.00

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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.