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Finding the Fourth Proportional to 47,202.23, 65,139.60 and 25,692.11

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Solution

The fourth proportional to 47,202.23, 65,139.60 and 25,692.11 is: 35,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202.23 : 65,139.60 = 25,692.11 : x
  2. Step 2: Convert to fraction form
    47,202.23/65,139.60 = 25,692.11/x
  3. Step 3: Cross multiply
    47,202.23x = 65,139.60 × 25,692.11
  4. Step 4: Simplify right side
    47,202.23x = 1,673,573,442.86
  5. Step 5: Solve for x
    x = 1,673,573,442.86/47,202.23
  6. Step 6: Final answer
    x = 35,455.39

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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.