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Finding the Fourth Proportional to 30,353.13, 45,533.95 and 8,167.23

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Solution

The fourth proportional to 30,353.13, 45,533.95 and 8,167.23 is: 12,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.13 : 45,533.95 = 8,167.23 : x
  2. Step 2: Convert to fraction form
    30,353.13/45,533.95 = 8,167.23/x
  3. Step 3: Cross multiply
    30,353.13x = 45,533.95 × 8,167.23
  4. Step 4: Simplify right side
    30,353.13x = 371,886,222.04
  5. Step 5: Solve for x
    x = 371,886,222.04/30,353.13
  6. Step 6: Final answer
    x = 12,251.99

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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.