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Finding the Fourth Proportional to 27,492, 41,245.04 and 9,024.16

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Solution

The fourth proportional to 27,492, 41,245.04 and 9,024.16 is: 13,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492 : 41,245.04 = 9,024.16 : x
  2. Step 2: Convert to fraction form
    27,492/41,245.04 = 9,024.16/x
  3. Step 3: Cross multiply
    27,492x = 41,245.04 × 9,024.16
  4. Step 4: Simplify right side
    27,492x = 372,201,840.17
  5. Step 5: Solve for x
    x = 372,201,840.17/27,492
  6. Step 6: Final answer
    x = 13,538.55

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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.