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Finding the Fourth Proportional to 47,187.38, 65,131.36 and 27,823.19

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Solution

The fourth proportional to 47,187.38, 65,131.36 and 27,823.19 is: 38,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,187.38 : 65,131.36 = 27,823.19 : x
  2. Step 2: Convert to fraction form
    47,187.38/65,131.36 = 27,823.19/x
  3. Step 3: Cross multiply
    47,187.38x = 65,131.36 × 27,823.19
  4. Step 4: Simplify right side
    47,187.38x = 1,812,161,809.02
  5. Step 5: Solve for x
    x = 1,812,161,809.02/47,187.38
  6. Step 6: Final answer
    x = 38,403.52

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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.