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Finding the Fourth Proportional to 31,497.72, 47,232.42 and 9,303.36

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Solution

The fourth proportional to 31,497.72, 47,232.42 and 9,303.36 is: 13,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.72 : 47,232.42 = 9,303.36 : x
  2. Step 2: Convert to fraction form
    31,497.72/47,232.42 = 9,303.36/x
  3. Step 3: Cross multiply
    31,497.72x = 47,232.42 × 9,303.36
  4. Step 4: Simplify right side
    31,497.72x = 439,420,206.93
  5. Step 5: Solve for x
    x = 439,420,206.93/31,497.72
  6. Step 6: Final answer
    x = 13,950.86

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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.