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Finding the Fourth Proportional to 50,718.84, 76,078.20 and 19,532.22

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Solution

The fourth proportional to 50,718.84, 76,078.20 and 19,532.22 is: 29,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718.84 : 76,078.20 = 19,532.22 : x
  2. Step 2: Convert to fraction form
    50,718.84/76,078.20 = 19,532.22/x
  3. Step 3: Cross multiply
    50,718.84x = 76,078.20 × 19,532.22
  4. Step 4: Simplify right side
    50,718.84x = 1,485,976,139.60
  5. Step 5: Solve for x
    x = 1,485,976,139.60/50,718.84
  6. Step 6: Final answer
    x = 29,298.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.