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Finding the Fourth Proportional to 32,505.84, 48,758.40 and 10,320.84

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Solution

The fourth proportional to 32,505.84, 48,758.40 and 10,320.84 is: 15,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.84 : 48,758.40 = 10,320.84 : x
  2. Step 2: Convert to fraction form
    32,505.84/48,758.40 = 10,320.84/x
  3. Step 3: Cross multiply
    32,505.84x = 48,758.40 × 10,320.84
  4. Step 4: Simplify right side
    32,505.84x = 503,227,645.06
  5. Step 5: Solve for x
    x = 503,227,645.06/32,505.84
  6. Step 6: Final answer
    x = 15,481.15

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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.