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Finding the Fourth Proportional to 31,728.10, 47,558.66 and 10,648.16

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Solution

The fourth proportional to 31,728.10, 47,558.66 and 10,648.16 is: 15,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.10 : 47,558.66 = 10,648.16 : x
  2. Step 2: Convert to fraction form
    31,728.10/47,558.66 = 10,648.16/x
  3. Step 3: Cross multiply
    31,728.10x = 47,558.66 × 10,648.16
  4. Step 4: Simplify right side
    31,728.10x = 506,411,930.03
  5. Step 5: Solve for x
    x = 506,411,930.03/31,728.10
  6. Step 6: Final answer
    x = 15,960.99

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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.