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Finding the Fourth Proportional to 105,794.51, 158,719.10 and 39,253.61

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Solution

The fourth proportional to 105,794.51, 158,719.10 and 39,253.61 is: 58,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.51 : 158,719.10 = 39,253.61 : x
  2. Step 2: Convert to fraction form
    105,794.51/158,719.10 = 39,253.61/x
  3. Step 3: Cross multiply
    105,794.51x = 158,719.10 × 39,253.61
  4. Step 4: Simplify right side
    105,794.51x = 6,230,297,851.48
  5. Step 5: Solve for x
    x = 6,230,297,851.48/105,794.51
  6. Step 6: Final answer
    x = 58,890.56

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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.