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Finding the Fourth Proportional to 77,100.75, 106,354.67 and 45,263.49

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Solution

The fourth proportional to 77,100.75, 106,354.67 and 45,263.49 is: 62,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.75 : 106,354.67 = 45,263.49 : x
  2. Step 2: Convert to fraction form
    77,100.75/106,354.67 = 45,263.49/x
  3. Step 3: Cross multiply
    77,100.75x = 106,354.67 × 45,263.49
  4. Step 4: Simplify right side
    77,100.75x = 4,813,983,315.68
  5. Step 5: Solve for x
    x = 4,813,983,315.68/77,100.75
  6. Step 6: Final answer
    x = 62,437.57

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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.