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Finding the Fourth Proportional to 50,498.92, 69,703.14 and 29,282.92

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Solution

The fourth proportional to 50,498.92, 69,703.14 and 29,282.92 is: 40,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.92 : 69,703.14 = 29,282.92 : x
  2. Step 2: Convert to fraction form
    50,498.92/69,703.14 = 29,282.92/x
  3. Step 3: Cross multiply
    50,498.92x = 69,703.14 × 29,282.92
  4. Step 4: Simplify right side
    50,498.92x = 2,041,111,472.37
  5. Step 5: Solve for x
    x = 2,041,111,472.37/50,498.92
  6. Step 6: Final answer
    x = 40,418.91

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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.