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Finding the Fourth Proportional to 47,238, 65,182.77 and 27,093.84

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Solution

The fourth proportional to 47,238, 65,182.77 and 27,093.84 is: 37,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238 : 65,182.77 = 27,093.84 : x
  2. Step 2: Convert to fraction form
    47,238/65,182.77 = 27,093.84/x
  3. Step 3: Cross multiply
    47,238x = 65,182.77 × 27,093.84
  4. Step 4: Simplify right side
    47,238x = 1,766,051,541.14
  5. Step 5: Solve for x
    x = 1,766,051,541.14/47,238
  6. Step 6: Final answer
    x = 37,386.25

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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.