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Finding the Fourth Proportional to 69,842.99, 96,403.67 and 45,647.48

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Solution

The fourth proportional to 69,842.99, 96,403.67 and 45,647.48 is: 63,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,842.99 : 96,403.67 = 45,647.48 : x
  2. Step 2: Convert to fraction form
    69,842.99/96,403.67 = 45,647.48/x
  3. Step 3: Cross multiply
    69,842.99x = 96,403.67 × 45,647.48
  4. Step 4: Simplify right side
    69,842.99x = 4,400,584,598.25
  5. Step 5: Solve for x
    x = 4,400,584,598.25/69,842.99
  6. Step 6: Final answer
    x = 63,006.82

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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.