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Finding the Fourth Proportional to 50,914.68, 70,262.64 and 28,253.76

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Solution

The fourth proportional to 50,914.68, 70,262.64 and 28,253.76 is: 38,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,914.68 : 70,262.64 = 28,253.76 : x
  2. Step 2: Convert to fraction form
    50,914.68/70,262.64 = 28,253.76/x
  3. Step 3: Cross multiply
    50,914.68x = 70,262.64 × 28,253.76
  4. Step 4: Simplify right side
    50,914.68x = 1,985,183,767.53
  5. Step 5: Solve for x
    x = 1,985,183,767.53/50,914.68
  6. Step 6: Final answer
    x = 38,990.40

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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.