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Finding the Fourth Proportional to 69,055.76, 103,458.24 and 31,646.96

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Solution

The fourth proportional to 69,055.76, 103,458.24 and 31,646.96 is: 47,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,055.76 : 103,458.24 = 31,646.96 : x
  2. Step 2: Convert to fraction form
    69,055.76/103,458.24 = 31,646.96/x
  3. Step 3: Cross multiply
    69,055.76x = 103,458.24 × 31,646.96
  4. Step 4: Simplify right side
    69,055.76x = 3,274,138,782.95
  5. Step 5: Solve for x
    x = 3,274,138,782.95/69,055.76
  6. Step 6: Final answer
    x = 47,412.97

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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.