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Finding the Fourth Proportional to 31,516.86, 47,275.14 and 9,330.37

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Solution

The fourth proportional to 31,516.86, 47,275.14 and 9,330.37 is: 13,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.86 : 47,275.14 = 9,330.37 : x
  2. Step 2: Convert to fraction form
    31,516.86/47,275.14 = 9,330.37/x
  3. Step 3: Cross multiply
    31,516.86x = 47,275.14 × 9,330.37
  4. Step 4: Simplify right side
    31,516.86x = 441,094,548.00
  5. Step 5: Solve for x
    x = 441,094,548.00/31,516.86
  6. Step 6: Final answer
    x = 13,995.51

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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.