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Finding the Fourth Proportional to 74,142.96, 101,985.48 and 65,023.44

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Solution

The fourth proportional to 74,142.96, 101,985.48 and 65,023.44 is: 89,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142.96 : 101,985.48 = 65,023.44 : x
  2. Step 2: Convert to fraction form
    74,142.96/101,985.48 = 65,023.44/x
  3. Step 3: Cross multiply
    74,142.96x = 101,985.48 × 65,023.44
  4. Step 4: Simplify right side
    74,142.96x = 6,631,446,739.65
  5. Step 5: Solve for x
    x = 6,631,446,739.65/74,142.96
  6. Step 6: Final answer
    x = 89,441.35

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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.