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Finding the Fourth Proportional to 31,610.86, 47,419 and 8,237.26

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Solution

The fourth proportional to 31,610.86, 47,419 and 8,237.26 is: 12,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.86 : 47,419 = 8,237.26 : x
  2. Step 2: Convert to fraction form
    31,610.86/47,419 = 8,237.26/x
  3. Step 3: Cross multiply
    31,610.86x = 47,419 × 8,237.26
  4. Step 4: Simplify right side
    31,610.86x = 390,602,631.94
  5. Step 5: Solve for x
    x = 390,602,631.94/31,610.86
  6. Step 6: Final answer
    x = 12,356.60

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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.