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Finding the Fourth Proportional to 31,673.08, 47,494.98 and 17,822.08

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Solution

The fourth proportional to 31,673.08, 47,494.98 and 17,822.08 is: 26,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.08 : 47,494.98 = 17,822.08 : x
  2. Step 2: Convert to fraction form
    31,673.08/47,494.98 = 17,822.08/x
  3. Step 3: Cross multiply
    31,673.08x = 47,494.98 × 17,822.08
  4. Step 4: Simplify right side
    31,673.08x = 846,459,333.16
  5. Step 5: Solve for x
    x = 846,459,333.16/31,673.08
  6. Step 6: Final answer
    x = 26,724.88

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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.