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Finding the Fourth Proportional to 47,683.81, 65,815.60 and 27,552.38

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Solution

The fourth proportional to 47,683.81, 65,815.60 and 27,552.38 is: 38,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683.81 : 65,815.60 = 27,552.38 : x
  2. Step 2: Convert to fraction form
    47,683.81/65,815.60 = 27,552.38/x
  3. Step 3: Cross multiply
    47,683.81x = 65,815.60 × 27,552.38
  4. Step 4: Simplify right side
    47,683.81x = 1,813,376,421.13
  5. Step 5: Solve for x
    x = 1,813,376,421.13/47,683.81
  6. Step 6: Final answer
    x = 38,029.19

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Why These Related Problems?

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