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Finding the Fourth Proportional to 47,134.16, 65,038.37 and 27,741.54

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Solution

The fourth proportional to 47,134.16, 65,038.37 and 27,741.54 is: 38,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.16 : 65,038.37 = 27,741.54 : x
  2. Step 2: Convert to fraction form
    47,134.16/65,038.37 = 27,741.54/x
  3. Step 3: Cross multiply
    47,134.16x = 65,038.37 × 27,741.54
  4. Step 4: Simplify right side
    47,134.16x = 1,804,264,542.89
  5. Step 5: Solve for x
    x = 1,804,264,542.89/47,134.16
  6. Step 6: Final answer
    x = 38,279.34

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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.