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Finding the Fourth Proportional to 32,588.96, 48,961.70 and 20,924.96

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Solution

The fourth proportional to 32,588.96, 48,961.70 and 20,924.96 is: 31,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.96 : 48,961.70 = 20,924.96 : x
  2. Step 2: Convert to fraction form
    32,588.96/48,961.70 = 20,924.96/x
  3. Step 3: Cross multiply
    32,588.96x = 48,961.70 × 20,924.96
  4. Step 4: Simplify right side
    32,588.96x = 1,024,521,614.03
  5. Step 5: Solve for x
    x = 1,024,521,614.03/32,588.96
  6. Step 6: Final answer
    x = 31,437.69

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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.