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Finding the Fourth Proportional to 27,103.50, 40,648.35 and 7,381.02

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Solution

The fourth proportional to 27,103.50, 40,648.35 and 7,381.02 is: 11,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,103.50 : 40,648.35 = 7,381.02 : x
  2. Step 2: Convert to fraction form
    27,103.50/40,648.35 = 7,381.02/x
  3. Step 3: Cross multiply
    27,103.50x = 40,648.35 × 7,381.02
  4. Step 4: Simplify right side
    27,103.50x = 300,026,284.32
  5. Step 5: Solve for x
    x = 300,026,284.32/27,103.50
  6. Step 6: Final answer
    x = 11,069.65

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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.