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Finding the Fourth Proportional to 110,536.98, 165,805.47 and 31,651.53

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Solution

The fourth proportional to 110,536.98, 165,805.47 and 31,651.53 is: 47,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,536.98 : 165,805.47 = 31,651.53 : x
  2. Step 2: Convert to fraction form
    110,536.98/165,805.47 = 31,651.53/x
  3. Step 3: Cross multiply
    110,536.98x = 165,805.47 × 31,651.53
  4. Step 4: Simplify right side
    110,536.98x = 5,247,996,807.87
  5. Step 5: Solve for x
    x = 5,247,996,807.87/110,536.98
  6. Step 6: Final answer
    x = 47,477.30

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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.