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Finding the Fourth Proportional to 32,856.16, 49,291.16 and 10,667.80

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Solution

The fourth proportional to 32,856.16, 49,291.16 and 10,667.80 is: 16,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.16 : 49,291.16 = 10,667.80 : x
  2. Step 2: Convert to fraction form
    32,856.16/49,291.16 = 10,667.80/x
  3. Step 3: Cross multiply
    32,856.16x = 49,291.16 × 10,667.80
  4. Step 4: Simplify right side
    32,856.16x = 525,828,236.65
  5. Step 5: Solve for x
    x = 525,828,236.65/32,856.16
  6. Step 6: Final answer
    x = 16,003.95

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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.