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Finding the Fourth Proportional to 27,073.80, 37,373.36 and 16,466.84

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Solution

The fourth proportional to 27,073.80, 37,373.36 and 16,466.84 is: 22,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,073.80 : 37,373.36 = 16,466.84 : x
  2. Step 2: Convert to fraction form
    27,073.80/37,373.36 = 16,466.84/x
  3. Step 3: Cross multiply
    27,073.80x = 37,373.36 × 16,466.84
  4. Step 4: Simplify right side
    27,073.80x = 615,421,139.38
  5. Step 5: Solve for x
    x = 615,421,139.38/27,073.80
  6. Step 6: Final answer
    x = 22,731.24

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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.