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Finding the Fourth Proportional to 75,198.71, 103,764.35 and 44,973

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Solution

The fourth proportional to 75,198.71, 103,764.35 and 44,973 is: 62,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198.71 : 103,764.35 = 44,973 : x
  2. Step 2: Convert to fraction form
    75,198.71/103,764.35 = 44,973/x
  3. Step 3: Cross multiply
    75,198.71x = 103,764.35 × 44,973
  4. Step 4: Simplify right side
    75,198.71x = 4,666,593,887.69
  5. Step 5: Solve for x
    x = 4,666,593,887.69/75,198.71
  6. Step 6: Final answer
    x = 62,056.84

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1.5x scale

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.