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Finding the Fourth Proportional to 32,896.76, 49,350 and 9,520.16

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Solution

The fourth proportional to 32,896.76, 49,350 and 9,520.16 is: 14,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.76 : 49,350 = 9,520.16 : x
  2. Step 2: Convert to fraction form
    32,896.76/49,350 = 9,520.16/x
  3. Step 3: Cross multiply
    32,896.76x = 49,350 × 9,520.16
  4. Step 4: Simplify right side
    32,896.76x = 469,819,896
  5. Step 5: Solve for x
    x = 469,819,896/32,896.76
  6. Step 6: Final answer
    x = 14,281.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.