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Finding the Fourth Proportional to 50,729.96, 69,848.34 and 46,064.36

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Solution

The fourth proportional to 50,729.96, 69,848.34 and 46,064.36 is: 63,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729.96 : 69,848.34 = 46,064.36 : x
  2. Step 2: Convert to fraction form
    50,729.96/69,848.34 = 46,064.36/x
  3. Step 3: Cross multiply
    50,729.96x = 69,848.34 × 46,064.36
  4. Step 4: Simplify right side
    50,729.96x = 3,217,519,079.16
  5. Step 5: Solve for x
    x = 3,217,519,079.16/50,729.96
  6. Step 6: Final answer
    x = 63,424.44

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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.