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Finding the Fourth Proportional to 34,907.81, 52,353.95 and 9,947.39

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Solution

The fourth proportional to 34,907.81, 52,353.95 and 9,947.39 is: 14,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,907.81 : 52,353.95 = 9,947.39 : x
  2. Step 2: Convert to fraction form
    34,907.81/52,353.95 = 9,947.39/x
  3. Step 3: Cross multiply
    34,907.81x = 52,353.95 × 9,947.39
  4. Step 4: Simplify right side
    34,907.81x = 520,784,847.18
  5. Step 5: Solve for x
    x = 520,784,847.18/34,907.81
  6. Step 6: Final answer
    x = 14,918.87

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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.