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Finding the Fourth Proportional to 31,165.16, 46,735.43 and 11,432.95

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Solution

The fourth proportional to 31,165.16, 46,735.43 and 11,432.95 is: 17,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.16 : 46,735.43 = 11,432.95 : x
  2. Step 2: Convert to fraction form
    31,165.16/46,735.43 = 11,432.95/x
  3. Step 3: Cross multiply
    31,165.16x = 46,735.43 × 11,432.95
  4. Step 4: Simplify right side
    31,165.16x = 534,323,834.42
  5. Step 5: Solve for x
    x = 534,323,834.42/31,165.16
  6. Step 6: Final answer
    x = 17,144.91

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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.