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Finding the Fourth Proportional to 32,840.16, 45,311.09 and 20,088.71

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Solution

The fourth proportional to 32,840.16, 45,311.09 and 20,088.71 is: 27,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.16 : 45,311.09 = 20,088.71 : x
  2. Step 2: Convert to fraction form
    32,840.16/45,311.09 = 20,088.71/x
  3. Step 3: Cross multiply
    32,840.16x = 45,311.09 × 20,088.71
  4. Step 4: Simplify right side
    32,840.16x = 910,241,019.79
  5. Step 5: Solve for x
    x = 910,241,019.79/32,840.16
  6. Step 6: Final answer
    x = 27,717.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.