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Finding the Fourth Proportional to 70,946.67, 106,348.14 and 46,002.54

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Solution

The fourth proportional to 70,946.67, 106,348.14 and 46,002.54 is: 68,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.67 : 106,348.14 = 46,002.54 : x
  2. Step 2: Convert to fraction form
    70,946.67/106,348.14 = 46,002.54/x
  3. Step 3: Cross multiply
    70,946.67x = 106,348.14 × 46,002.54
  4. Step 4: Simplify right side
    70,946.67x = 4,892,284,564.28
  5. Step 5: Solve for x
    x = 4,892,284,564.28/70,946.67
  6. Step 6: Final answer
    x = 68,957.21

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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.