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Finding the Fourth Proportional to 35,535.48, 49,056.48 and 27,865.23

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Solution

The fourth proportional to 35,535.48, 49,056.48 and 27,865.23 is: 38,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,535.48 : 49,056.48 = 27,865.23 : x
  2. Step 2: Convert to fraction form
    35,535.48/49,056.48 = 27,865.23/x
  3. Step 3: Cross multiply
    35,535.48x = 49,056.48 × 27,865.23
  4. Step 4: Simplify right side
    35,535.48x = 1,366,970,098.19
  5. Step 5: Solve for x
    x = 1,366,970,098.19/35,535.48
  6. Step 6: Final answer
    x = 38,467.75

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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.