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Finding the Fourth Proportional to 46,657.50, 69,993.30 and 15,057

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Solution

The fourth proportional to 46,657.50, 69,993.30 and 15,057 is: 22,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,657.50 : 69,993.30 = 15,057 : x
  2. Step 2: Convert to fraction form
    46,657.50/69,993.30 = 15,057/x
  3. Step 3: Cross multiply
    46,657.50x = 69,993.30 × 15,057
  4. Step 4: Simplify right side
    46,657.50x = 1,053,889,118.10
  5. Step 5: Solve for x
    x = 1,053,889,118.10/46,657.50
  6. Step 6: Final answer
    x = 22,587.78

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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.