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Finding the Fourth Proportional to 97,262.75, 145,894.13 and 23,390.75

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Solution

The fourth proportional to 97,262.75, 145,894.13 and 23,390.75 is: 35,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,262.75 : 145,894.13 = 23,390.75 : x
  2. Step 2: Convert to fraction form
    97,262.75/145,894.13 = 23,390.75/x
  3. Step 3: Cross multiply
    97,262.75x = 145,894.13 × 23,390.75
  4. Step 4: Simplify right side
    97,262.75x = 3,412,573,121.30
  5. Step 5: Solve for x
    x = 3,412,573,121.30/97,262.75
  6. Step 6: Final answer
    x = 35,086.13

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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.