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Finding the Fourth Proportional to 69,488.32, 95,893.64 and 37,658

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Solution

The fourth proportional to 69,488.32, 95,893.64 and 37,658 is: 51,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,488.32 : 95,893.64 = 37,658 : x
  2. Step 2: Convert to fraction form
    69,488.32/95,893.64 = 37,658/x
  3. Step 3: Cross multiply
    69,488.32x = 95,893.64 × 37,658
  4. Step 4: Simplify right side
    69,488.32x = 3,611,162,695.12
  5. Step 5: Solve for x
    x = 3,611,162,695.12/69,488.32
  6. Step 6: Final answer
    x = 51,967.91

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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.