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Finding the Fourth Proportional to 69,777.84, 96,292.74 and 37,947

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Solution

The fourth proportional to 69,777.84, 96,292.74 and 37,947 is: 52,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,777.84 : 96,292.74 = 37,947 : x
  2. Step 2: Convert to fraction form
    69,777.84/96,292.74 = 37,947/x
  3. Step 3: Cross multiply
    69,777.84x = 96,292.74 × 37,947
  4. Step 4: Simplify right side
    69,777.84x = 3,654,020,604.78
  5. Step 5: Solve for x
    x = 3,654,020,604.78/69,777.84
  6. Step 6: Final answer
    x = 52,366.49

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1.5x scale

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.