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Finding the Fourth Proportional to 31,497.56, 47,232.14 and 9,303.28

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Solution

The fourth proportional to 31,497.56, 47,232.14 and 9,303.28 is: 13,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.56 : 47,232.14 = 9,303.28 : x
  2. Step 2: Convert to fraction form
    31,497.56/47,232.14 = 9,303.28/x
  3. Step 3: Cross multiply
    31,497.56x = 47,232.14 × 9,303.28
  4. Step 4: Simplify right side
    31,497.56x = 439,413,823.42
  5. Step 5: Solve for x
    x = 439,413,823.42/31,497.56
  6. Step 6: Final answer
    x = 13,950.73

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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.