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Finding the Fourth Proportional to 78,788.49, 108,745.65 and 50,102.34

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Solution

The fourth proportional to 78,788.49, 108,745.65 and 50,102.34 is: 69,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,788.49 : 108,745.65 = 50,102.34 : x
  2. Step 2: Convert to fraction form
    78,788.49/108,745.65 = 50,102.34/x
  3. Step 3: Cross multiply
    78,788.49x = 108,745.65 × 50,102.34
  4. Step 4: Simplify right side
    78,788.49x = 5,448,411,529.82
  5. Step 5: Solve for x
    x = 5,448,411,529.82/78,788.49
  6. Step 6: Final answer
    x = 69,152.38

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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.