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Finding the Fourth Proportional to 27,966.66, 42,141.22 and 23,142.66

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Solution

The fourth proportional to 27,966.66, 42,141.22 and 23,142.66 is: 34,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966.66 : 42,141.22 = 23,142.66 : x
  2. Step 2: Convert to fraction form
    27,966.66/42,141.22 = 23,142.66/x
  3. Step 3: Cross multiply
    27,966.66x = 42,141.22 × 23,142.66
  4. Step 4: Simplify right side
    27,966.66x = 975,259,810.73
  5. Step 5: Solve for x
    x = 975,259,810.73/27,966.66
  6. Step 6: Final answer
    x = 34,872.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.