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Finding the Fourth Proportional to 50,862.47, 70,197.44 and 28,206.50

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Solution

The fourth proportional to 50,862.47, 70,197.44 and 28,206.50 is: 38,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862.47 : 70,197.44 = 28,206.50 : x
  2. Step 2: Convert to fraction form
    50,862.47/70,197.44 = 28,206.50/x
  3. Step 3: Cross multiply
    50,862.47x = 70,197.44 × 28,206.50
  4. Step 4: Simplify right side
    50,862.47x = 1,980,023,599.34
  5. Step 5: Solve for x
    x = 1,980,023,599.34/50,862.47
  6. Step 6: Final answer
    x = 38,928.97

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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.