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Finding the Fourth Proportional to 32,841.82, 49,269.75 and 15,063.94

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Solution

The fourth proportional to 32,841.82, 49,269.75 and 15,063.94 is: 22,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.82 : 49,269.75 = 15,063.94 : x
  2. Step 2: Convert to fraction form
    32,841.82/49,269.75 = 15,063.94/x
  3. Step 3: Cross multiply
    32,841.82x = 49,269.75 × 15,063.94
  4. Step 4: Simplify right side
    32,841.82x = 742,196,557.82
  5. Step 5: Solve for x
    x = 742,196,557.82/32,841.82
  6. Step 6: Final answer
    x = 22,599.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.