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Finding the Fourth Proportional to 32,841.42, 49,267.05 and 10,647.42

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Solution

The fourth proportional to 32,841.42, 49,267.05 and 10,647.42 is: 15,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.42 : 49,267.05 = 10,647.42 : x
  2. Step 2: Convert to fraction form
    32,841.42/49,267.05 = 10,647.42/x
  3. Step 3: Cross multiply
    32,841.42x = 49,267.05 × 10,647.42
  4. Step 4: Simplify right side
    32,841.42x = 524,566,973.51
  5. Step 5: Solve for x
    x = 524,566,973.51/32,841.42
  6. Step 6: Final answer
    x = 15,972.73

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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.