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Finding the Fourth Proportional to 101,821.52, 140,513.24 and 56,499.39

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Solution

The fourth proportional to 101,821.52, 140,513.24 and 56,499.39 is: 77,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,821.52 : 140,513.24 = 56,499.39 : x
  2. Step 2: Convert to fraction form
    101,821.52/140,513.24 = 56,499.39/x
  3. Step 3: Cross multiply
    101,821.52x = 140,513.24 × 56,499.39
  4. Step 4: Simplify right side
    101,821.52x = 7,938,912,488.17
  5. Step 5: Solve for x
    x = 7,938,912,488.17/101,821.52
  6. Step 6: Final answer
    x = 77,968.90

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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.