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Finding the Fourth Proportional to 102,910.32, 142,023.87 and 57,592.84

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Solution

The fourth proportional to 102,910.32, 142,023.87 and 57,592.84 is: 79,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,910.32 : 142,023.87 = 57,592.84 : x
  2. Step 2: Convert to fraction form
    102,910.32/142,023.87 = 57,592.84/x
  3. Step 3: Cross multiply
    102,910.32x = 142,023.87 × 57,592.84
  4. Step 4: Simplify right side
    102,910.32x = 8,179,558,021.09
  5. Step 5: Solve for x
    x = 8,179,558,021.09/102,910.32
  6. Step 6: Final answer
    x = 79,482.39

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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.