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Finding the Fourth Proportional to 152,760.32, 229,144.32 and 41,952

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Solution

The fourth proportional to 152,760.32, 229,144.32 and 41,952 is: 62,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,760.32 : 229,144.32 = 41,952 : x
  2. Step 2: Convert to fraction form
    152,760.32/229,144.32 = 41,952/x
  3. Step 3: Cross multiply
    152,760.32x = 229,144.32 × 41,952
  4. Step 4: Simplify right side
    152,760.32x = 9,613,062,512.64
  5. Step 5: Solve for x
    x = 9,613,062,512.64/152,760.32
  6. Step 6: Final answer
    x = 62,929.05

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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.