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Finding the Fourth Proportional to 34,625, 51,946.14 and 10,001

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Solution

The fourth proportional to 34,625, 51,946.14 and 10,001 is: 15,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,625 : 51,946.14 = 10,001 : x
  2. Step 2: Convert to fraction form
    34,625/51,946.14 = 10,001/x
  3. Step 3: Cross multiply
    34,625x = 51,946.14 × 10,001
  4. Step 4: Simplify right side
    34,625x = 519,513,346.14
  5. Step 5: Solve for x
    x = 519,513,346.14/34,625
  6. Step 6: Final answer
    x = 15,004.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.