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Finding the Fourth Proportional to 96,638.67, 144,971.67 and 30,085.52

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Solution

The fourth proportional to 96,638.67, 144,971.67 and 30,085.52 is: 45,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.67 : 144,971.67 = 30,085.52 : x
  2. Step 2: Convert to fraction form
    96,638.67/144,971.67 = 30,085.52/x
  3. Step 3: Cross multiply
    96,638.67x = 144,971.67 × 30,085.52
  4. Step 4: Simplify right side
    96,638.67x = 4,361,548,077.22
  5. Step 5: Solve for x
    x = 4,361,548,077.22/96,638.67
  6. Step 6: Final answer
    x = 45,132.53

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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.