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Finding the Fourth Proportional to 49,875.68, 68,828.04 and 27,214.16

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Solution

The fourth proportional to 49,875.68, 68,828.04 and 27,214.16 is: 37,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875.68 : 68,828.04 = 27,214.16 : x
  2. Step 2: Convert to fraction form
    49,875.68/68,828.04 = 27,214.16/x
  3. Step 3: Cross multiply
    49,875.68x = 68,828.04 × 27,214.16
  4. Step 4: Simplify right side
    49,875.68x = 1,873,097,293.05
  5. Step 5: Solve for x
    x = 1,873,097,293.05/49,875.68
  6. Step 6: Final answer
    x = 37,555.32

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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.