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Finding the Fourth Proportional to 32,064.77, 48,097.83 and 11,004.63

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Solution

The fourth proportional to 32,064.77, 48,097.83 and 11,004.63 is: 16,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.77 : 48,097.83 = 11,004.63 : x
  2. Step 2: Convert to fraction form
    32,064.77/48,097.83 = 11,004.63/x
  3. Step 3: Cross multiply
    32,064.77x = 48,097.83 × 11,004.63
  4. Step 4: Simplify right side
    32,064.77x = 529,298,822.95
  5. Step 5: Solve for x
    x = 529,298,822.95/32,064.77
  6. Step 6: Final answer
    x = 16,507.18

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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.