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Finding the Fourth Proportional to 69,670.50, 96,163.19 and 42,465.03

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Solution

The fourth proportional to 69,670.50, 96,163.19 and 42,465.03 is: 58,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,670.50 : 96,163.19 = 42,465.03 : x
  2. Step 2: Convert to fraction form
    69,670.50/96,163.19 = 42,465.03/x
  3. Step 3: Cross multiply
    69,670.50x = 96,163.19 × 42,465.03
  4. Step 4: Simplify right side
    69,670.50x = 4,083,572,535.92
  5. Step 5: Solve for x
    x = 4,083,572,535.92/69,670.50
  6. Step 6: Final answer
    x = 58,612.65

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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.