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Finding the Fourth Proportional to 31,585.67, 47,378.39 and 12,861.53

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Solution

The fourth proportional to 31,585.67, 47,378.39 and 12,861.53 is: 19,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.67 : 47,378.39 = 12,861.53 : x
  2. Step 2: Convert to fraction form
    31,585.67/47,378.39 = 12,861.53/x
  3. Step 3: Cross multiply
    31,585.67x = 47,378.39 × 12,861.53
  4. Step 4: Simplify right side
    31,585.67x = 609,358,835.83
  5. Step 5: Solve for x
    x = 609,358,835.83/31,585.67
  6. Step 6: Final answer
    x = 19,292.26

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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.