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Finding the Fourth Proportional to 38,129, 52,618.02 and 23,225

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Solution

The fourth proportional to 38,129, 52,618.02 and 23,225 is: 32,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129 : 52,618.02 = 23,225 : x
  2. Step 2: Convert to fraction form
    38,129/52,618.02 = 23,225/x
  3. Step 3: Cross multiply
    38,129x = 52,618.02 × 23,225
  4. Step 4: Simplify right side
    38,129x = 1,222,053,514.50
  5. Step 5: Solve for x
    x = 1,222,053,514.50/38,129
  6. Step 6: Final answer
    x = 32,050.50

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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.