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Finding the Fourth Proportional to 101,449.22, 152,188.41 and 31,334

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Solution

The fourth proportional to 101,449.22, 152,188.41 and 31,334 is: 47,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,449.22 : 152,188.41 = 31,334 : x
  2. Step 2: Convert to fraction form
    101,449.22/152,188.41 = 31,334/x
  3. Step 3: Cross multiply
    101,449.22x = 152,188.41 × 31,334
  4. Step 4: Simplify right side
    101,449.22x = 4,768,671,638.94
  5. Step 5: Solve for x
    x = 4,768,671,638.94/101,449.22
  6. Step 6: Final answer
    x = 47,005.50

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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.