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Finding the Fourth Proportional to 31,533.33, 47,304.59 and 9,343.83

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Solution

The fourth proportional to 31,533.33, 47,304.59 and 9,343.83 is: 14,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.33 : 47,304.59 = 9,343.83 : x
  2. Step 2: Convert to fraction form
    31,533.33/47,304.59 = 9,343.83/x
  3. Step 3: Cross multiply
    31,533.33x = 47,304.59 × 9,343.83
  4. Step 4: Simplify right side
    31,533.33x = 442,006,000.46
  5. Step 5: Solve for x
    x = 442,006,000.46/31,533.33
  6. Step 6: Final answer
    x = 14,017.11

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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.