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Finding the Fourth Proportional to 31,106.90, 42,927.41 and 16,959.74

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Solution

The fourth proportional to 31,106.90, 42,927.41 and 16,959.74 is: 23,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.90 : 42,927.41 = 16,959.74 : x
  2. Step 2: Convert to fraction form
    31,106.90/42,927.41 = 16,959.74/x
  3. Step 3: Cross multiply
    31,106.90x = 42,927.41 × 16,959.74
  4. Step 4: Simplify right side
    31,106.90x = 728,037,712.47
  5. Step 5: Solve for x
    x = 728,037,712.47/31,106.90
  6. Step 6: Final answer
    x = 23,404.38

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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.