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Finding the Fourth Proportional to 31,495.72, 47,214.40 and 17,635

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Solution

The fourth proportional to 31,495.72, 47,214.40 and 17,635 is: 26,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.72 : 47,214.40 = 17,635 : x
  2. Step 2: Convert to fraction form
    31,495.72/47,214.40 = 17,635/x
  3. Step 3: Cross multiply
    31,495.72x = 47,214.40 × 17,635
  4. Step 4: Simplify right side
    31,495.72x = 832,625,944
  5. Step 5: Solve for x
    x = 832,625,944/31,495.72
  6. Step 6: Final answer
    x = 26,436.16

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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.