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Finding the Fourth Proportional to 31,610.46, 47,400.63 and 9,416.05

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Solution

The fourth proportional to 31,610.46, 47,400.63 and 9,416.05 is: 14,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.46 : 47,400.63 = 9,416.05 : x
  2. Step 2: Convert to fraction form
    31,610.46/47,400.63 = 9,416.05/x
  3. Step 3: Cross multiply
    31,610.46x = 47,400.63 × 9,416.05
  4. Step 4: Simplify right side
    31,610.46x = 446,326,702.11
  5. Step 5: Solve for x
    x = 446,326,702.11/31,610.46
  6. Step 6: Final answer
    x = 14,119.59

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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.