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Finding the Fourth Proportional to 70,826.93, 106,215.63 and 20,893.77

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Solution

The fourth proportional to 70,826.93, 106,215.63 and 20,893.77 is: 31,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,826.93 : 106,215.63 = 20,893.77 : x
  2. Step 2: Convert to fraction form
    70,826.93/106,215.63 = 20,893.77/x
  3. Step 3: Cross multiply
    70,826.93x = 106,215.63 × 20,893.77
  4. Step 4: Simplify right side
    70,826.93x = 2,219,244,943.63
  5. Step 5: Solve for x
    x = 2,219,244,943.63/70,826.93
  6. Step 6: Final answer
    x = 31,333.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.