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Finding the Fourth Proportional to 72,806.44, 100,476.12 and 40,977.40

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Solution

The fourth proportional to 72,806.44, 100,476.12 and 40,977.40 is: 56,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.44 : 100,476.12 = 40,977.40 : x
  2. Step 2: Convert to fraction form
    72,806.44/100,476.12 = 40,977.40/x
  3. Step 3: Cross multiply
    72,806.44x = 100,476.12 × 40,977.40
  4. Step 4: Simplify right side
    72,806.44x = 4,117,250,159.69
  5. Step 5: Solve for x
    x = 4,117,250,159.69/72,806.44
  6. Step 6: Final answer
    x = 56,550.63

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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.