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Finding the Fourth Proportional to 50,738.83, 70,023.08 and 28,078.76

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Solution

The fourth proportional to 50,738.83, 70,023.08 and 28,078.76 is: 38,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,738.83 : 70,023.08 = 28,078.76 : x
  2. Step 2: Convert to fraction form
    50,738.83/70,023.08 = 28,078.76/x
  3. Step 3: Cross multiply
    50,738.83x = 70,023.08 × 28,078.76
  4. Step 4: Simplify right side
    50,738.83x = 1,966,161,503.04
  5. Step 5: Solve for x
    x = 1,966,161,503.04/50,738.83
  6. Step 6: Final answer
    x = 38,750.63

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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.