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Finding the Fourth Proportional to 31,728.34, 47,597.97 and 10,670.36

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Solution

The fourth proportional to 31,728.34, 47,597.97 and 10,670.36 is: 16,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.34 : 47,597.97 = 10,670.36 : x
  2. Step 2: Convert to fraction form
    31,728.34/47,597.97 = 10,670.36/x
  3. Step 3: Cross multiply
    31,728.34x = 47,597.97 × 10,670.36
  4. Step 4: Simplify right side
    31,728.34x = 507,887,475.17
  5. Step 5: Solve for x
    x = 507,887,475.17/31,728.34
  6. Step 6: Final answer
    x = 16,007.38

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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.