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Finding the Fourth Proportional to 69,041.78, 103,561.60 and 31,064.22

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Solution

The fourth proportional to 69,041.78, 103,561.60 and 31,064.22 is: 46,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,041.78 : 103,561.60 = 31,064.22 : x
  2. Step 2: Convert to fraction form
    69,041.78/103,561.60 = 31,064.22/x
  3. Step 3: Cross multiply
    69,041.78x = 103,561.60 × 31,064.22
  4. Step 4: Simplify right side
    69,041.78x = 3,217,060,325.95
  5. Step 5: Solve for x
    x = 3,217,060,325.95/69,041.78
  6. Step 6: Final answer
    x = 46,595.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.