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Finding the Fourth Proportional to 27,576.40, 38,055.22 and 15,001.16

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Solution

The fourth proportional to 27,576.40, 38,055.22 and 15,001.16 is: 20,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.40 : 38,055.22 = 15,001.16 : x
  2. Step 2: Convert to fraction form
    27,576.40/38,055.22 = 15,001.16/x
  3. Step 3: Cross multiply
    27,576.40x = 38,055.22 × 15,001.16
  4. Step 4: Simplify right side
    27,576.40x = 570,872,444.06
  5. Step 5: Solve for x
    x = 570,872,444.06/27,576.40
  6. Step 6: Final answer
    x = 20,701.49

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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.