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Finding the Fourth Proportional to 42,294.94, 63,446.69 and 15,647.96

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Solution

The fourth proportional to 42,294.94, 63,446.69 and 15,647.96 is: 23,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294.94 : 63,446.69 = 15,647.96 : x
  2. Step 2: Convert to fraction form
    42,294.94/63,446.69 = 15,647.96/x
  3. Step 3: Cross multiply
    42,294.94x = 63,446.69 × 15,647.96
  4. Step 4: Simplify right side
    42,294.94x = 992,811,464.99
  5. Step 5: Solve for x
    x = 992,811,464.99/42,294.94
  6. Step 6: Final answer
    x = 23,473.53

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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.