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Finding the Fourth Proportional to 31,538.45, 47,299.61 and 9,346.65

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Solution

The fourth proportional to 31,538.45, 47,299.61 and 9,346.65 is: 14,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.45 : 47,299.61 = 9,346.65 : x
  2. Step 2: Convert to fraction form
    31,538.45/47,299.61 = 9,346.65/x
  3. Step 3: Cross multiply
    31,538.45x = 47,299.61 × 9,346.65
  4. Step 4: Simplify right side
    31,538.45x = 442,092,899.81
  5. Step 5: Solve for x
    x = 442,092,899.81/31,538.45
  6. Step 6: Final answer
    x = 14,017.58

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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.