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Finding the Fourth Proportional to 34,373.12, 51,548.70 and 10,994

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Solution

The fourth proportional to 34,373.12, 51,548.70 and 10,994 is: 16,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,373.12 : 51,548.70 = 10,994 : x
  2. Step 2: Convert to fraction form
    34,373.12/51,548.70 = 10,994/x
  3. Step 3: Cross multiply
    34,373.12x = 51,548.70 × 10,994
  4. Step 4: Simplify right side
    34,373.12x = 566,726,407.80
  5. Step 5: Solve for x
    x = 566,726,407.80/34,373.12
  6. Step 6: Final answer
    x = 16,487.49

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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.