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Finding the Fourth Proportional to 27,557, 41,335.52 and 9,089

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Solution

The fourth proportional to 27,557, 41,335.52 and 9,089 is: 13,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,557 : 41,335.52 = 9,089 : x
  2. Step 2: Convert to fraction form
    27,557/41,335.52 = 9,089/x
  3. Step 3: Cross multiply
    27,557x = 41,335.52 × 9,089
  4. Step 4: Simplify right side
    27,557x = 375,698,541.28
  5. Step 5: Solve for x
    x = 375,698,541.28/27,557
  6. Step 6: Final answer
    x = 13,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.