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Finding the Fourth Proportional to 27,252, 40,878.94 and 7,532.08

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Solution

The fourth proportional to 27,252, 40,878.94 and 7,532.08 is: 11,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 40,878.94 = 7,532.08 : x
  2. Step 2: Convert to fraction form
    27,252/40,878.94 = 7,532.08/x
  3. Step 3: Cross multiply
    27,252x = 40,878.94 × 7,532.08
  4. Step 4: Simplify right side
    27,252x = 307,903,446.40
  5. Step 5: Solve for x
    x = 307,903,446.40/27,252
  6. Step 6: Final answer
    x = 11,298.38

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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.