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Finding the Fourth Proportional to 49,352.68, 74,036.70 and 16,513

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Solution

The fourth proportional to 49,352.68, 74,036.70 and 16,513 is: 24,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,352.68 : 74,036.70 = 16,513 : x
  2. Step 2: Convert to fraction form
    49,352.68/74,036.70 = 16,513/x
  3. Step 3: Cross multiply
    49,352.68x = 74,036.70 × 16,513
  4. Step 4: Simplify right side
    49,352.68x = 1,222,568,027.10
  5. Step 5: Solve for x
    x = 1,222,568,027.10/49,352.68
  6. Step 6: Final answer
    x = 24,772.07

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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.