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Finding the Fourth Proportional to 73,142.64, 100,944 and 44,459.79

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Solution

The fourth proportional to 73,142.64, 100,944 and 44,459.79 is: 61,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.64 : 100,944 = 44,459.79 : x
  2. Step 2: Convert to fraction form
    73,142.64/100,944 = 44,459.79/x
  3. Step 3: Cross multiply
    73,142.64x = 100,944 × 44,459.79
  4. Step 4: Simplify right side
    73,142.64x = 4,487,949,041.76
  5. Step 5: Solve for x
    x = 4,487,949,041.76/73,142.64
  6. Step 6: Final answer
    x = 61,358.86

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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.