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Finding the Fourth Proportional to 32,078.66, 48,122.52 and 9,893.84

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Solution

The fourth proportional to 32,078.66, 48,122.52 and 9,893.84 is: 14,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.66 : 48,122.52 = 9,893.84 : x
  2. Step 2: Convert to fraction form
    32,078.66/48,122.52 = 9,893.84/x
  3. Step 3: Cross multiply
    32,078.66x = 48,122.52 × 9,893.84
  4. Step 4: Simplify right side
    32,078.66x = 476,116,513.28
  5. Step 5: Solve for x
    x = 476,116,513.28/32,078.66
  6. Step 6: Final answer
    x = 14,842.16

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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.