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Finding the Fourth Proportional to 68,269.40, 102,404.10 and 33,277.40

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Solution

The fourth proportional to 68,269.40, 102,404.10 and 33,277.40 is: 49,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,269.40 : 102,404.10 = 33,277.40 : x
  2. Step 2: Convert to fraction form
    68,269.40/102,404.10 = 33,277.40/x
  3. Step 3: Cross multiply
    68,269.40x = 102,404.10 × 33,277.40
  4. Step 4: Simplify right side
    68,269.40x = 3,407,742,197.34
  5. Step 5: Solve for x
    x = 3,407,742,197.34/68,269.40
  6. Step 6: Final answer
    x = 49,916.10

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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.