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Finding the Fourth Proportional to 31,686.94, 47,536.62 and 9,498.64

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Solution

The fourth proportional to 31,686.94, 47,536.62 and 9,498.64 is: 14,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.94 : 47,536.62 = 9,498.64 : x
  2. Step 2: Convert to fraction form
    31,686.94/47,536.62 = 9,498.64/x
  3. Step 3: Cross multiply
    31,686.94x = 47,536.62 × 9,498.64
  4. Step 4: Simplify right side
    31,686.94x = 451,533,240.20
  5. Step 5: Solve for x
    x = 451,533,240.20/31,686.94
  6. Step 6: Final answer
    x = 14,249.82

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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.