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Finding the Fourth Proportional to 34,325, 51,487.50 and 13,548.50

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Solution

The fourth proportional to 34,325, 51,487.50 and 13,548.50 is: 20,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,325 : 51,487.50 = 13,548.50 : x
  2. Step 2: Convert to fraction form
    34,325/51,487.50 = 13,548.50/x
  3. Step 3: Cross multiply
    34,325x = 51,487.50 × 13,548.50
  4. Step 4: Simplify right side
    34,325x = 697,578,393.75
  5. Step 5: Solve for x
    x = 697,578,393.75/34,325
  6. Step 6: Final answer
    x = 20,322.75

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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.