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Finding the Fourth Proportional to 31,670.72, 47,514.56 and 9,484.16

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Solution

The fourth proportional to 31,670.72, 47,514.56 and 9,484.16 is: 14,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.72 : 47,514.56 = 9,484.16 : x
  2. Step 2: Convert to fraction form
    31,670.72/47,514.56 = 9,484.16/x
  3. Step 3: Cross multiply
    31,670.72x = 47,514.56 × 9,484.16
  4. Step 4: Simplify right side
    31,670.72x = 450,635,689.37
  5. Step 5: Solve for x
    x = 450,635,689.37/31,670.72
  6. Step 6: Final answer
    x = 14,228.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.