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Finding the Fourth Proportional to 32,066.34, 48,095.91 and 8,694.60

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Solution

The fourth proportional to 32,066.34, 48,095.91 and 8,694.60 is: 13,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.34 : 48,095.91 = 8,694.60 : x
  2. Step 2: Convert to fraction form
    32,066.34/48,095.91 = 8,694.60/x
  3. Step 3: Cross multiply
    32,066.34x = 48,095.91 × 8,694.60
  4. Step 4: Simplify right side
    32,066.34x = 418,174,699.09
  5. Step 5: Solve for x
    x = 418,174,699.09/32,066.34
  6. Step 6: Final answer
    x = 13,040.92

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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.