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Finding the Fourth Proportional to 31,457.31, 47,188.40 and 12,728.49

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Solution

The fourth proportional to 31,457.31, 47,188.40 and 12,728.49 is: 19,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.31 : 47,188.40 = 12,728.49 : x
  2. Step 2: Convert to fraction form
    31,457.31/47,188.40 = 12,728.49/x
  3. Step 3: Cross multiply
    31,457.31x = 47,188.40 × 12,728.49
  4. Step 4: Simplify right side
    31,457.31x = 600,637,013.87
  5. Step 5: Solve for x
    x = 600,637,013.87/31,457.31
  6. Step 6: Final answer
    x = 19,093.72

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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.