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Finding the Fourth Proportional to 75,751.89, 104,726.57 and 56,856.21

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Solution

The fourth proportional to 75,751.89, 104,726.57 and 56,856.21 is: 78,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.89 : 104,726.57 = 56,856.21 : x
  2. Step 2: Convert to fraction form
    75,751.89/104,726.57 = 56,856.21/x
  3. Step 3: Cross multiply
    75,751.89x = 104,726.57 × 56,856.21
  4. Step 4: Simplify right side
    75,751.89x = 5,954,355,572.22
  5. Step 5: Solve for x
    x = 5,954,355,572.22/75,751.89
  6. Step 6: Final answer
    x = 78,603.39

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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.