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Finding the Fourth Proportional to 35,657.46, 49,200.74 and 20,548

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Solution

The fourth proportional to 35,657.46, 49,200.74 and 20,548 is: 28,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.46 : 49,200.74 = 20,548 : x
  2. Step 2: Convert to fraction form
    35,657.46/49,200.74 = 20,548/x
  3. Step 3: Cross multiply
    35,657.46x = 49,200.74 × 20,548
  4. Step 4: Simplify right side
    35,657.46x = 1,010,976,805.52
  5. Step 5: Solve for x
    x = 1,010,976,805.52/35,657.46
  6. Step 6: Final answer
    x = 28,352.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.