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Finding the Fourth Proportional to 59,252.24, 81,769.04 and 35,381

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Solution

The fourth proportional to 59,252.24, 81,769.04 and 35,381 is: 48,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,252.24 : 81,769.04 = 35,381 : x
  2. Step 2: Convert to fraction form
    59,252.24/81,769.04 = 35,381/x
  3. Step 3: Cross multiply
    59,252.24x = 81,769.04 × 35,381
  4. Step 4: Simplify right side
    59,252.24x = 2,893,070,404.24
  5. Step 5: Solve for x
    x = 2,893,070,404.24/59,252.24
  6. Step 6: Final answer
    x = 48,826.35

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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.