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Finding the Fourth Proportional to 32,880.96, 49,322.88 and 9,509.76

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Solution

The fourth proportional to 32,880.96, 49,322.88 and 9,509.76 is: 14,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.96 : 49,322.88 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    32,880.96/49,322.88 = 9,509.76/x
  3. Step 3: Cross multiply
    32,880.96x = 49,322.88 × 9,509.76
  4. Step 4: Simplify right side
    32,880.96x = 469,048,751.31
  5. Step 5: Solve for x
    x = 469,048,751.31/32,880.96
  6. Step 6: Final answer
    x = 14,265.06

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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.