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Finding the Fourth Proportional to 64,282.46, 96,485.88 and 31,025.94

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Solution

The fourth proportional to 64,282.46, 96,485.88 and 31,025.94 is: 46,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282.46 : 96,485.88 = 31,025.94 : x
  2. Step 2: Convert to fraction form
    64,282.46/96,485.88 = 31,025.94/x
  3. Step 3: Cross multiply
    64,282.46x = 96,485.88 × 31,025.94
  4. Step 4: Simplify right side
    64,282.46x = 2,993,565,123.73
  5. Step 5: Solve for x
    x = 2,993,565,123.73/64,282.46
  6. Step 6: Final answer
    x = 46,568.93

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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.