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Finding the Fourth Proportional to 31,509.68, 47,273.69 and 9,323.64

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Solution

The fourth proportional to 31,509.68, 47,273.69 and 9,323.64 is: 13,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.68 : 47,273.69 = 9,323.64 : x
  2. Step 2: Convert to fraction form
    31,509.68/47,273.69 = 9,323.64/x
  3. Step 3: Cross multiply
    31,509.68x = 47,273.69 × 9,323.64
  4. Step 4: Simplify right side
    31,509.68x = 440,762,890.34
  5. Step 5: Solve for x
    x = 440,762,890.34/31,509.68
  6. Step 6: Final answer
    x = 13,988.18

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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.