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Finding the Fourth Proportional to 70,970.76, 106,243.44 and 68,447.27

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Solution

The fourth proportional to 70,970.76, 106,243.44 and 68,447.27 is: 102,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.76 : 106,243.44 = 68,447.27 : x
  2. Step 2: Convert to fraction form
    70,970.76/106,243.44 = 68,447.27/x
  3. Step 3: Cross multiply
    70,970.76x = 106,243.44 × 68,447.27
  4. Step 4: Simplify right side
    70,970.76x = 7,272,073,423.41
  5. Step 5: Solve for x
    x = 7,272,073,423.41/70,970.76
  6. Step 6: Final answer
    x = 102,465.77

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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.