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Finding the Fourth Proportional to 50,570, 75,862.20 and 26,871.36

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Solution

The fourth proportional to 50,570, 75,862.20 and 26,871.36 is: 40,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570 : 75,862.20 = 26,871.36 : x
  2. Step 2: Convert to fraction form
    50,570/75,862.20 = 26,871.36/x
  3. Step 3: Cross multiply
    50,570x = 75,862.20 × 26,871.36
  4. Step 4: Simplify right side
    50,570x = 2,038,520,486.59
  5. Step 5: Solve for x
    x = 2,038,520,486.59/50,570
  6. Step 6: Final answer
    x = 40,310.87

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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.