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Finding the Fourth Proportional to 32,725.36, 49,083.16 and 11,944

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Solution

The fourth proportional to 32,725.36, 49,083.16 and 11,944 is: 17,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,725.36 : 49,083.16 = 11,944 : x
  2. Step 2: Convert to fraction form
    32,725.36/49,083.16 = 11,944/x
  3. Step 3: Cross multiply
    32,725.36x = 49,083.16 × 11,944
  4. Step 4: Simplify right side
    32,725.36x = 586,249,263.04
  5. Step 5: Solve for x
    x = 586,249,263.04/32,725.36
  6. Step 6: Final answer
    x = 17,914.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.