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Finding the Fourth Proportional to 64,586.71, 96,789.84 and 31,297.95

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Solution

The fourth proportional to 64,586.71, 96,789.84 and 31,297.95 is: 46,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,586.71 : 96,789.84 = 31,297.95 : x
  2. Step 2: Convert to fraction form
    64,586.71/96,789.84 = 31,297.95/x
  3. Step 3: Cross multiply
    64,586.71x = 96,789.84 × 31,297.95
  4. Step 4: Simplify right side
    64,586.71x = 3,029,323,572.83
  5. Step 5: Solve for x
    x = 3,029,323,572.83/64,586.71
  6. Step 6: Final answer
    x = 46,903.20

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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.