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Finding the Fourth Proportional to 31,509.33, 47,271.56 and 9,020.34

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Solution

The fourth proportional to 31,509.33, 47,271.56 and 9,020.34 is: 13,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.33 : 47,271.56 = 9,020.34 : x
  2. Step 2: Convert to fraction form
    31,509.33/47,271.56 = 9,020.34/x
  3. Step 3: Cross multiply
    31,509.33x = 47,271.56 × 9,020.34
  4. Step 4: Simplify right side
    31,509.33x = 426,405,543.53
  5. Step 5: Solve for x
    x = 426,405,543.53/31,509.33
  6. Step 6: Final answer
    x = 13,532.68

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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.