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Finding the Fourth Proportional to 78,385.84, 108,173.71 and 42,575.87

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Solution

The fourth proportional to 78,385.84, 108,173.71 and 42,575.87 is: 58,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.84 : 108,173.71 = 42,575.87 : x
  2. Step 2: Convert to fraction form
    78,385.84/108,173.71 = 42,575.87/x
  3. Step 3: Cross multiply
    78,385.84x = 108,173.71 × 42,575.87
  4. Step 4: Simplify right side
    78,385.84x = 4,605,590,138.03
  5. Step 5: Solve for x
    x = 4,605,590,138.03/78,385.84
  6. Step 6: Final answer
    x = 58,755.39

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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.