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Finding the Fourth Proportional to 31,294.60, 46,956.94 and 19,445.16

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Solution

The fourth proportional to 31,294.60, 46,956.94 and 19,445.16 is: 29,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.60 : 46,956.94 = 19,445.16 : x
  2. Step 2: Convert to fraction form
    31,294.60/46,956.94 = 19,445.16/x
  3. Step 3: Cross multiply
    31,294.60x = 46,956.94 × 19,445.16
  4. Step 4: Simplify right side
    31,294.60x = 913,085,211.41
  5. Step 5: Solve for x
    x = 913,085,211.41/31,294.60
  6. Step 6: Final answer
    x = 29,177.09

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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.