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Finding the Fourth Proportional to 64,389.40, 96,612.90 and 31,096.60

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Solution

The fourth proportional to 64,389.40, 96,612.90 and 31,096.60 is: 46,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389.40 : 96,612.90 = 31,096.60 : x
  2. Step 2: Convert to fraction form
    64,389.40/96,612.90 = 31,096.60/x
  3. Step 3: Cross multiply
    64,389.40x = 96,612.90 × 31,096.60
  4. Step 4: Simplify right side
    64,389.40x = 3,004,332,706.14
  5. Step 5: Solve for x
    x = 3,004,332,706.14/64,389.40
  6. Step 6: Final answer
    x = 46,658.81

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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.