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Finding the Fourth Proportional to 47,712.34, 65,846.01 and 27,572.90

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Solution

The fourth proportional to 47,712.34, 65,846.01 and 27,572.90 is: 38,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.34 : 65,846.01 = 27,572.90 : x
  2. Step 2: Convert to fraction form
    47,712.34/65,846.01 = 27,572.90/x
  3. Step 3: Cross multiply
    47,712.34x = 65,846.01 × 27,572.90
  4. Step 4: Simplify right side
    47,712.34x = 1,815,565,449.13
  5. Step 5: Solve for x
    x = 1,815,565,449.13/47,712.34
  6. Step 6: Final answer
    x = 38,052.32

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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.