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Finding the Fourth Proportional to 73,106.88, 100,892.16 and 41,264.16

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Solution

The fourth proportional to 73,106.88, 100,892.16 and 41,264.16 is: 56,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106.88 : 100,892.16 = 41,264.16 : x
  2. Step 2: Convert to fraction form
    73,106.88/100,892.16 = 41,264.16/x
  3. Step 3: Cross multiply
    73,106.88x = 100,892.16 × 41,264.16
  4. Step 4: Simplify right side
    73,106.88x = 4,163,230,232.99
  5. Step 5: Solve for x
    x = 4,163,230,232.99/73,106.88
  6. Step 6: Final answer
    x = 56,947.17

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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.