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Finding the Fourth Proportional to 101,532.71, 152,297.03 and 34,971.37

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Solution

The fourth proportional to 101,532.71, 152,297.03 and 34,971.37 is: 52,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,532.71 : 152,297.03 = 34,971.37 : x
  2. Step 2: Convert to fraction form
    101,532.71/152,297.03 = 34,971.37/x
  3. Step 3: Cross multiply
    101,532.71x = 152,297.03 × 34,971.37
  4. Step 4: Simplify right side
    101,532.71x = 5,326,035,230.43
  5. Step 5: Solve for x
    x = 5,326,035,230.43/101,532.71
  6. Step 6: Final answer
    x = 52,456.35

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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.