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Finding the Fourth Proportional to 97,506.38, 146,259.56 and 23,634.38

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Solution

The fourth proportional to 97,506.38, 146,259.56 and 23,634.38 is: 35,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506.38 : 146,259.56 = 23,634.38 : x
  2. Step 2: Convert to fraction form
    97,506.38/146,259.56 = 23,634.38/x
  3. Step 3: Cross multiply
    97,506.38x = 146,259.56 × 23,634.38
  4. Step 4: Simplify right side
    97,506.38x = 3,456,754,019.67
  5. Step 5: Solve for x
    x = 3,456,754,019.67/97,506.38
  6. Step 6: Final answer
    x = 35,451.57

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1.5x scale

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.