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Finding the Fourth Proportional to 32,823.84, 49,162.32 and 15,267.36

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Solution

The fourth proportional to 32,823.84, 49,162.32 and 15,267.36 is: 22,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.84 : 49,162.32 = 15,267.36 : x
  2. Step 2: Convert to fraction form
    32,823.84/49,162.32 = 15,267.36/x
  3. Step 3: Cross multiply
    32,823.84x = 49,162.32 × 15,267.36
  4. Step 4: Simplify right side
    32,823.84x = 750,578,837.88
  5. Step 5: Solve for x
    x = 750,578,837.88/32,823.84
  6. Step 6: Final answer
    x = 22,866.88

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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.