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Finding the Fourth Proportional to 32,252.96, 48,384.90 and 10,065.84

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Solution

The fourth proportional to 32,252.96, 48,384.90 and 10,065.84 is: 15,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252.96 : 48,384.90 = 10,065.84 : x
  2. Step 2: Convert to fraction form
    32,252.96/48,384.90 = 10,065.84/x
  3. Step 3: Cross multiply
    32,252.96x = 48,384.90 × 10,065.84
  4. Step 4: Simplify right side
    32,252.96x = 487,034,661.82
  5. Step 5: Solve for x
    x = 487,034,661.82/32,252.96
  6. Step 6: Final answer
    x = 15,100.46

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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.