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Finding the Fourth Proportional to 27,046.63, 40,569.81 and 7,325.16

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Solution

The fourth proportional to 27,046.63, 40,569.81 and 7,325.16 is: 10,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.63 : 40,569.81 = 7,325.16 : x
  2. Step 2: Convert to fraction form
    27,046.63/40,569.81 = 7,325.16/x
  3. Step 3: Cross multiply
    27,046.63x = 40,569.81 × 7,325.16
  4. Step 4: Simplify right side
    27,046.63x = 297,180,349.42
  5. Step 5: Solve for x
    x = 297,180,349.42/27,046.63
  6. Step 6: Final answer
    x = 10,987.70

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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.