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Finding the Fourth Proportional to 50,882.64, 70,218 and 28,526.64

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Solution

The fourth proportional to 50,882.64, 70,218 and 28,526.64 is: 39,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.64 : 70,218 = 28,526.64 : x
  2. Step 2: Convert to fraction form
    50,882.64/70,218 = 28,526.64/x
  3. Step 3: Cross multiply
    50,882.64x = 70,218 × 28,526.64
  4. Step 4: Simplify right side
    50,882.64x = 2,003,083,607.52
  5. Step 5: Solve for x
    x = 2,003,083,607.52/50,882.64
  6. Step 6: Final answer
    x = 39,366.74

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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.