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Finding the Fourth Proportional to 70,948.68, 106,351.14 and 46,004.54

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Solution

The fourth proportional to 70,948.68, 106,351.14 and 46,004.54 is: 68,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.68 : 106,351.14 = 46,004.54 : x
  2. Step 2: Convert to fraction form
    70,948.68/106,351.14 = 46,004.54/x
  3. Step 3: Cross multiply
    70,948.68x = 106,351.14 × 46,004.54
  4. Step 4: Simplify right side
    70,948.68x = 4,892,635,274.18
  5. Step 5: Solve for x
    x = 4,892,635,274.18/70,948.68
  6. Step 6: Final answer
    x = 68,960.20

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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.