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Finding the Fourth Proportional to 31,774.50, 47,652.15 and 9,586.02

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Solution

The fourth proportional to 31,774.50, 47,652.15 and 9,586.02 is: 14,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.50 : 47,652.15 = 9,586.02 : x
  2. Step 2: Convert to fraction form
    31,774.50/47,652.15 = 9,586.02/x
  3. Step 3: Cross multiply
    31,774.50x = 47,652.15 × 9,586.02
  4. Step 4: Simplify right side
    31,774.50x = 456,794,462.94
  5. Step 5: Solve for x
    x = 456,794,462.94/31,774.50
  6. Step 6: Final answer
    x = 14,376.13

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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.