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Finding the Fourth Proportional to 32,081.32, 48,123.42 and 11,305

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Solution

The fourth proportional to 32,081.32, 48,123.42 and 11,305 is: 16,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.32 : 48,123.42 = 11,305 : x
  2. Step 2: Convert to fraction form
    32,081.32/48,123.42 = 11,305/x
  3. Step 3: Cross multiply
    32,081.32x = 48,123.42 × 11,305
  4. Step 4: Simplify right side
    32,081.32x = 544,035,263.10
  5. Step 5: Solve for x
    x = 544,035,263.10/32,081.32
  6. Step 6: Final answer
    x = 16,958.01

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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.