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Finding the Fourth Proportional to 31,031.32, 46,196.03 and 30,846.82

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Solution

The fourth proportional to 31,031.32, 46,196.03 and 30,846.82 is: 45,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031.32 : 46,196.03 = 30,846.82 : x
  2. Step 2: Convert to fraction form
    31,031.32/46,196.03 = 30,846.82/x
  3. Step 3: Cross multiply
    31,031.32x = 46,196.03 × 30,846.82
  4. Step 4: Simplify right side
    31,031.32x = 1,425,000,622.12
  5. Step 5: Solve for x
    x = 1,425,000,622.12/31,031.32
  6. Step 6: Final answer
    x = 45,921.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.