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Finding the Fourth Proportional to 69,809.92, 96,338.84 and 37,978.84

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Solution

The fourth proportional to 69,809.92, 96,338.84 and 37,978.84 is: 52,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,809.92 : 96,338.84 = 37,978.84 : x
  2. Step 2: Convert to fraction form
    69,809.92/96,338.84 = 37,978.84/x
  3. Step 3: Cross multiply
    69,809.92x = 96,338.84 × 37,978.84
  4. Step 4: Simplify right side
    69,809.92x = 3,658,837,390.15
  5. Step 5: Solve for x
    x = 3,658,837,390.15/69,809.92
  6. Step 6: Final answer
    x = 52,411.43

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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.