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Finding the Fourth Proportional to 32,729.16, 49,093.98 and 9,355.88

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Solution

The fourth proportional to 32,729.16, 49,093.98 and 9,355.88 is: 14,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.16 : 49,093.98 = 9,355.88 : x
  2. Step 2: Convert to fraction form
    32,729.16/49,093.98 = 9,355.88/x
  3. Step 3: Cross multiply
    32,729.16x = 49,093.98 × 9,355.88
  4. Step 4: Simplify right side
    32,729.16x = 459,317,385.60
  5. Step 5: Solve for x
    x = 459,317,385.60/32,729.16
  6. Step 6: Final answer
    x = 14,033.89

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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.