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Finding the Fourth Proportional to 73,913.22, 101,970.02 and 54,578.46

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Solution

The fourth proportional to 73,913.22, 101,970.02 and 54,578.46 is: 75,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,913.22 : 101,970.02 = 54,578.46 : x
  2. Step 2: Convert to fraction form
    73,913.22/101,970.02 = 54,578.46/x
  3. Step 3: Cross multiply
    73,913.22x = 101,970.02 × 54,578.46
  4. Step 4: Simplify right side
    73,913.22x = 5,565,366,657.77
  5. Step 5: Solve for x
    x = 5,565,366,657.77/73,913.22
  6. Step 6: Final answer
    x = 75,295.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.