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Finding the Fourth Proportional to 56,908.65, 85,367.13 and 21,848.31

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Solution

The fourth proportional to 56,908.65, 85,367.13 and 21,848.31 is: 32,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,908.65 : 85,367.13 = 21,848.31 : x
  2. Step 2: Convert to fraction form
    56,908.65/85,367.13 = 21,848.31/x
  3. Step 3: Cross multiply
    56,908.65x = 85,367.13 × 21,848.31
  4. Step 4: Simplify right side
    56,908.65x = 1,865,127,520.05
  5. Step 5: Solve for x
    x = 1,865,127,520.05/56,908.65
  6. Step 6: Final answer
    x = 32,774.06

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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.