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Finding the Fourth Proportional to 51,223.76, 76,805.16 and 24,902

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Solution

The fourth proportional to 51,223.76, 76,805.16 and 24,902 is: 37,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,223.76 : 76,805.16 = 24,902 : x
  2. Step 2: Convert to fraction form
    51,223.76/76,805.16 = 24,902/x
  3. Step 3: Cross multiply
    51,223.76x = 76,805.16 × 24,902
  4. Step 4: Simplify right side
    51,223.76x = 1,912,602,094.32
  5. Step 5: Solve for x
    x = 1,912,602,094.32/51,223.76
  6. Step 6: Final answer
    x = 37,338.18

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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.