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Finding the Fourth Proportional to 96,255, 144,440.82 and 40,851

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Solution

The fourth proportional to 96,255, 144,440.82 and 40,851 is: 61,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255 : 144,440.82 = 40,851 : x
  2. Step 2: Convert to fraction form
    96,255/144,440.82 = 40,851/x
  3. Step 3: Cross multiply
    96,255x = 144,440.82 × 40,851
  4. Step 4: Simplify right side
    96,255x = 5,900,551,937.82
  5. Step 5: Solve for x
    x = 5,900,551,937.82/96,255
  6. Step 6: Final answer
    x = 61,301.25

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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.