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Finding the Fourth Proportional to 18,098.48, 27,148 and 4,952.16

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Solution

The fourth proportional to 18,098.48, 27,148 and 4,952.16 is: 7,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.48 : 27,148 = 4,952.16 : x
  2. Step 2: Convert to fraction form
    18,098.48/27,148 = 4,952.16/x
  3. Step 3: Cross multiply
    18,098.48x = 27,148 × 4,952.16
  4. Step 4: Simplify right side
    18,098.48x = 134,441,239.68
  5. Step 5: Solve for x
    x = 134,441,239.68/18,098.48
  6. Step 6: Final answer
    x = 7,428.32

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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.