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Finding the Fourth Proportional to 32,153.85, 48,228.75 and 9,965.52

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Solution

The fourth proportional to 32,153.85, 48,228.75 and 9,965.52 is: 14,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.85 : 48,228.75 = 9,965.52 : x
  2. Step 2: Convert to fraction form
    32,153.85/48,228.75 = 9,965.52/x
  3. Step 3: Cross multiply
    32,153.85x = 48,228.75 × 9,965.52
  4. Step 4: Simplify right side
    32,153.85x = 480,624,572.70
  5. Step 5: Solve for x
    x = 480,624,572.70/32,153.85
  6. Step 6: Final answer
    x = 14,947.65

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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.