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Finding the Fourth Proportional to 46,924.68, 70,391.60 and 13,645

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Solution

The fourth proportional to 46,924.68, 70,391.60 and 13,645 is: 20,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,924.68 : 70,391.60 = 13,645 : x
  2. Step 2: Convert to fraction form
    46,924.68/70,391.60 = 13,645/x
  3. Step 3: Cross multiply
    46,924.68x = 70,391.60 × 13,645
  4. Step 4: Simplify right side
    46,924.68x = 960,493,382.00
  5. Step 5: Solve for x
    x = 960,493,382.00/46,924.68
  6. Step 6: Final answer
    x = 20,468.83

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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.