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Finding the Fourth Proportional to 27,258, 37,616.85 and 16,080

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Solution

The fourth proportional to 27,258, 37,616.85 and 16,080 is: 22,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258 : 37,616.85 = 16,080 : x
  2. Step 2: Convert to fraction form
    27,258/37,616.85 = 16,080/x
  3. Step 3: Cross multiply
    27,258x = 37,616.85 × 16,080
  4. Step 4: Simplify right side
    27,258x = 604,878,948
  5. Step 5: Solve for x
    x = 604,878,948/27,258
  6. Step 6: Final answer
    x = 22,190.88

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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.