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Finding the Fourth Proportional to 30,715.44, 42,462.72 and 30,434.64

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Solution

The fourth proportional to 30,715.44, 42,462.72 and 30,434.64 is: 42,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.44 : 42,462.72 = 30,434.64 : x
  2. Step 2: Convert to fraction form
    30,715.44/42,462.72 = 30,434.64/x
  3. Step 3: Cross multiply
    30,715.44x = 42,462.72 × 30,434.64
  4. Step 4: Simplify right side
    30,715.44x = 1,292,337,596.62
  5. Step 5: Solve for x
    x = 1,292,337,596.62/30,715.44
  6. Step 6: Final answer
    x = 42,074.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.