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Finding the Fourth Proportional to 31,737.60, 43,776 and 19,146.24

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Solution

The fourth proportional to 31,737.60, 43,776 and 19,146.24 is: 26,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.60 : 43,776 = 19,146.24 : x
  2. Step 2: Convert to fraction form
    31,737.60/43,776 = 19,146.24/x
  3. Step 3: Cross multiply
    31,737.60x = 43,776 × 19,146.24
  4. Step 4: Simplify right side
    31,737.60x = 838,145,802.24
  5. Step 5: Solve for x
    x = 838,145,802.24/31,737.60
  6. Step 6: Final answer
    x = 26,408.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.