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Finding the Fourth Proportional to 32,082.21, 48,111.05 and 12,842.08

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Solution

The fourth proportional to 32,082.21, 48,111.05 and 12,842.08 is: 19,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.21 : 48,111.05 = 12,842.08 : x
  2. Step 2: Convert to fraction form
    32,082.21/48,111.05 = 12,842.08/x
  3. Step 3: Cross multiply
    32,082.21x = 48,111.05 × 12,842.08
  4. Step 4: Simplify right side
    32,082.21x = 617,845,864.81
  5. Step 5: Solve for x
    x = 617,845,864.81/32,082.21
  6. Step 6: Final answer
    x = 19,258.21

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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.