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Finding the Fourth Proportional to 34,624, 51,944.64 and 10,000

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Solution

The fourth proportional to 34,624, 51,944.64 and 10,000 is: 15,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624 : 51,944.64 = 10,000 : x
  2. Step 2: Convert to fraction form
    34,624/51,944.64 = 10,000/x
  3. Step 3: Cross multiply
    34,624x = 51,944.64 × 10,000
  4. Step 4: Simplify right side
    34,624x = 519,446,400
  5. Step 5: Solve for x
    x = 519,446,400/34,624
  6. Step 6: Final answer
    x = 15,002.50

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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.