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Finding the Fourth Proportional to 31,046.21, 42,762.15 and 23,862.39

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Solution

The fourth proportional to 31,046.21, 42,762.15 and 23,862.39 is: 32,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.21 : 42,762.15 = 23,862.39 : x
  2. Step 2: Convert to fraction form
    31,046.21/42,762.15 = 23,862.39/x
  3. Step 3: Cross multiply
    31,046.21x = 42,762.15 × 23,862.39
  4. Step 4: Simplify right side
    31,046.21x = 1,020,406,940.18
  5. Step 5: Solve for x
    x = 1,020,406,940.18/31,046.21
  6. Step 6: Final answer
    x = 32,867.36

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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.