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Finding the Fourth Proportional to 32,879.61, 49,319.78 and 9,506.25

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Solution

The fourth proportional to 32,879.61, 49,319.78 and 9,506.25 is: 14,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.61 : 49,319.78 = 9,506.25 : x
  2. Step 2: Convert to fraction form
    32,879.61/49,319.78 = 9,506.25/x
  3. Step 3: Cross multiply
    32,879.61x = 49,319.78 × 9,506.25
  4. Step 4: Simplify right side
    32,879.61x = 468,846,158.63
  5. Step 5: Solve for x
    x = 468,846,158.63/32,879.61
  6. Step 6: Final answer
    x = 14,259.48

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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.