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Finding the Fourth Proportional to 50,826.49, 70,134.86 and 28,159.82

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Solution

The fourth proportional to 50,826.49, 70,134.86 and 28,159.82 is: 38,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,826.49 : 70,134.86 = 28,159.82 : x
  2. Step 2: Convert to fraction form
    50,826.49/70,134.86 = 28,159.82/x
  3. Step 3: Cross multiply
    50,826.49x = 70,134.86 × 28,159.82
  4. Step 4: Simplify right side
    50,826.49x = 1,974,985,016.06
  5. Step 5: Solve for x
    x = 1,974,985,016.06/50,826.49
  6. Step 6: Final answer
    x = 38,857.40

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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.