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Finding the Fourth Proportional to 45,646.00, 68,462.61 and 15,659.74

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Solution

The fourth proportional to 45,646.00, 68,462.61 and 15,659.74 is: 23,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646.00 : 68,462.61 = 15,659.74 : x
  2. Step 2: Convert to fraction form
    45,646.00/68,462.61 = 15,659.74/x
  3. Step 3: Cross multiply
    45,646.00x = 68,462.61 × 15,659.74
  4. Step 4: Simplify right side
    45,646.00x = 1,072,106,757.90
  5. Step 5: Solve for x
    x = 1,072,106,757.90/45,646.00
  6. Step 6: Final answer
    x = 23,487.42

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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.