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Finding the Fourth Proportional to 31,357.50, 47,055.69 and 18,216.06

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Solution

The fourth proportional to 31,357.50, 47,055.69 and 18,216.06 is: 27,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.50 : 47,055.69 = 18,216.06 : x
  2. Step 2: Convert to fraction form
    31,357.50/47,055.69 = 18,216.06/x
  3. Step 3: Cross multiply
    31,357.50x = 47,055.69 × 18,216.06
  4. Step 4: Simplify right side
    31,357.50x = 857,169,272.38
  5. Step 5: Solve for x
    x = 857,169,272.38/31,357.50
  6. Step 6: Final answer
    x = 27,335.38

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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.