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Finding the Fourth Proportional to 97,760.24, 146,640.12 and 23,888.24

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Solution

The fourth proportional to 97,760.24, 146,640.12 and 23,888.24 is: 35,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,760.24 : 146,640.12 = 23,888.24 : x
  2. Step 2: Convert to fraction form
    97,760.24/146,640.12 = 23,888.24/x
  3. Step 3: Cross multiply
    97,760.24x = 146,640.12 × 23,888.24
  4. Step 4: Simplify right side
    97,760.24x = 3,502,974,380.19
  5. Step 5: Solve for x
    x = 3,502,974,380.19/97,760.24
  6. Step 6: Final answer
    x = 35,832.30

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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.