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Finding the Fourth Proportional to 70,921.61, 106,382.76 and 21,002.65

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Solution

The fourth proportional to 70,921.61, 106,382.76 and 21,002.65 is: 31,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,921.61 : 106,382.76 = 21,002.65 : x
  2. Step 2: Convert to fraction form
    70,921.61/106,382.76 = 21,002.65/x
  3. Step 3: Cross multiply
    70,921.61x = 106,382.76 × 21,002.65
  4. Step 4: Simplify right side
    70,921.61x = 2,234,319,874.31
  5. Step 5: Solve for x
    x = 2,234,319,874.31/70,921.61
  6. Step 6: Final answer
    x = 31,504.08

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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.