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Finding the Fourth Proportional to 101,986.10, 152,919.75 and 39,583.70

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Solution

The fourth proportional to 101,986.10, 152,919.75 and 39,583.70 is: 59,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.10 : 152,919.75 = 39,583.70 : x
  2. Step 2: Convert to fraction form
    101,986.10/152,919.75 = 39,583.70/x
  3. Step 3: Cross multiply
    101,986.10x = 152,919.75 × 39,583.70
  4. Step 4: Simplify right side
    101,986.10x = 6,053,129,508.08
  5. Step 5: Solve for x
    x = 6,053,129,508.08/101,986.10
  6. Step 6: Final answer
    x = 59,352.50

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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.