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Finding the Fourth Proportional to 31,165.96, 46,749 and 13,637.14

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Solution

The fourth proportional to 31,165.96, 46,749 and 13,637.14 is: 20,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.96 : 46,749 = 13,637.14 : x
  2. Step 2: Convert to fraction form
    31,165.96/46,749 = 13,637.14/x
  3. Step 3: Cross multiply
    31,165.96x = 46,749 × 13,637.14
  4. Step 4: Simplify right side
    31,165.96x = 637,522,657.86
  5. Step 5: Solve for x
    x = 637,522,657.86/31,165.96
  6. Step 6: Final answer
    x = 20,455.74

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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.