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Finding the Fourth Proportional to 32,884.26, 49,333.70 and 9,508.92

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Solution

The fourth proportional to 32,884.26, 49,333.70 and 9,508.92 is: 14,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.26 : 49,333.70 = 9,508.92 : x
  2. Step 2: Convert to fraction form
    32,884.26/49,333.70 = 9,508.92/x
  3. Step 3: Cross multiply
    32,884.26x = 49,333.70 × 9,508.92
  4. Step 4: Simplify right side
    32,884.26x = 469,110,159.06
  5. Step 5: Solve for x
    x = 469,110,159.06/32,884.26
  6. Step 6: Final answer
    x = 14,265.49

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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.