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Finding the Fourth Proportional to 31,493.44, 43,417.38 and 22,525.30

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Solution

The fourth proportional to 31,493.44, 43,417.38 and 22,525.30 is: 31,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.44 : 43,417.38 = 22,525.30 : x
  2. Step 2: Convert to fraction form
    31,493.44/43,417.38 = 22,525.30/x
  3. Step 3: Cross multiply
    31,493.44x = 43,417.38 × 22,525.30
  4. Step 4: Simplify right side
    31,493.44x = 977,989,509.71
  5. Step 5: Solve for x
    x = 977,989,509.71/31,493.44
  6. Step 6: Final answer
    x = 31,053.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.