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Finding the Fourth Proportional to 34,651, 51,985.16 and 10,027

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Solution

The fourth proportional to 34,651, 51,985.16 and 10,027 is: 15,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651 : 51,985.16 = 10,027 : x
  2. Step 2: Convert to fraction form
    34,651/51,985.16 = 10,027/x
  3. Step 3: Cross multiply
    34,651x = 51,985.16 × 10,027
  4. Step 4: Simplify right side
    34,651x = 521,255,199.32
  5. Step 5: Solve for x
    x = 521,255,199.32/34,651
  6. Step 6: Final answer
    x = 15,043.01

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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.