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Finding the Fourth Proportional to 32,296.88, 48,421.56 and 10,097.84

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Solution

The fourth proportional to 32,296.88, 48,421.56 and 10,097.84 is: 15,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.88 : 48,421.56 = 10,097.84 : x
  2. Step 2: Convert to fraction form
    32,296.88/48,421.56 = 10,097.84/x
  3. Step 3: Cross multiply
    32,296.88x = 48,421.56 × 10,097.84
  4. Step 4: Simplify right side
    32,296.88x = 488,953,165.43
  5. Step 5: Solve for x
    x = 488,953,165.43/32,296.88
  6. Step 6: Final answer
    x = 15,139.33

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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.