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Finding the Fourth Proportional to 32,833.32, 45,311.68 and 20,082.50

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Solution

The fourth proportional to 32,833.32, 45,311.68 and 20,082.50 is: 27,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.32 : 45,311.68 = 20,082.50 : x
  2. Step 2: Convert to fraction form
    32,833.32/45,311.68 = 20,082.50/x
  3. Step 3: Cross multiply
    32,833.32x = 45,311.68 × 20,082.50
  4. Step 4: Simplify right side
    32,833.32x = 909,971,876.67
  5. Step 5: Solve for x
    x = 909,971,876.67/32,833.32
  6. Step 6: Final answer
    x = 27,714.89

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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.