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Finding the Fourth Proportional to 96,608.25, 133,294.16 and 55,762.38

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Solution

The fourth proportional to 96,608.25, 133,294.16 and 55,762.38 is: 76,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,608.25 : 133,294.16 = 55,762.38 : x
  2. Step 2: Convert to fraction form
    96,608.25/133,294.16 = 55,762.38/x
  3. Step 3: Cross multiply
    96,608.25x = 133,294.16 × 55,762.38
  4. Step 4: Simplify right side
    96,608.25x = 7,432,799,322.89
  5. Step 5: Solve for x
    x = 7,432,799,322.89/96,608.25
  6. Step 6: Final answer
    x = 76,937.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.