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Finding the Fourth Proportional to 49,528, 68,349.84 and 27,172

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Solution

The fourth proportional to 49,528, 68,349.84 and 27,172 is: 37,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,528 : 68,349.84 = 27,172 : x
  2. Step 2: Convert to fraction form
    49,528/68,349.84 = 27,172/x
  3. Step 3: Cross multiply
    49,528x = 68,349.84 × 27,172
  4. Step 4: Simplify right side
    49,528x = 1,857,201,852.48
  5. Step 5: Solve for x
    x = 1,857,201,852.48/49,528
  6. Step 6: Final answer
    x = 37,498.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.