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Finding the Fourth Proportional to 37,178.76, 51,294.06 and 21,251.88

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Solution

The fourth proportional to 37,178.76, 51,294.06 and 21,251.88 is: 29,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178.76 : 51,294.06 = 21,251.88 : x
  2. Step 2: Convert to fraction form
    37,178.76/51,294.06 = 21,251.88/x
  3. Step 3: Cross multiply
    37,178.76x = 51,294.06 × 21,251.88
  4. Step 4: Simplify right side
    37,178.76x = 1,090,095,207.83
  5. Step 5: Solve for x
    x = 1,090,095,207.83/37,178.76
  6. Step 6: Final answer
    x = 29,320.38

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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.