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Finding the Fourth Proportional to 101,627.70, 152,441.55 and 31,514.10

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Solution

The fourth proportional to 101,627.70, 152,441.55 and 31,514.10 is: 47,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,627.70 : 152,441.55 = 31,514.10 : x
  2. Step 2: Convert to fraction form
    101,627.70/152,441.55 = 31,514.10/x
  3. Step 3: Cross multiply
    101,627.70x = 152,441.55 × 31,514.10
  4. Step 4: Simplify right side
    101,627.70x = 4,804,058,250.86
  5. Step 5: Solve for x
    x = 4,804,058,250.86/101,627.70
  6. Step 6: Final answer
    x = 47,271.15

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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.