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Finding the Fourth Proportional to 31,073.14, 42,881.97 and 16,927.30

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Solution

The fourth proportional to 31,073.14, 42,881.97 and 16,927.30 is: 23,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.14 : 42,881.97 = 16,927.30 : x
  2. Step 2: Convert to fraction form
    31,073.14/42,881.97 = 16,927.30/x
  3. Step 3: Cross multiply
    31,073.14x = 42,881.97 × 16,927.30
  4. Step 4: Simplify right side
    31,073.14x = 725,875,970.78
  5. Step 5: Solve for x
    x = 725,875,970.78/31,073.14
  6. Step 6: Final answer
    x = 23,360.24

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1.5x scale

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.