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Finding the Fourth Proportional to 50,710.40, 69,957.07 and 32,811.24

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Solution

The fourth proportional to 50,710.40, 69,957.07 and 32,811.24 is: 45,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710.40 : 69,957.07 = 32,811.24 : x
  2. Step 2: Convert to fraction form
    50,710.40/69,957.07 = 32,811.24/x
  3. Step 3: Cross multiply
    50,710.40x = 69,957.07 × 32,811.24
  4. Step 4: Simplify right side
    50,710.40x = 2,295,378,213.47
  5. Step 5: Solve for x
    x = 2,295,378,213.47/50,710.40
  6. Step 6: Final answer
    x = 45,264.45

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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.