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Finding the Fourth Proportional to 47,659, 71,438.61 and 16,058.14

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Solution

The fourth proportional to 47,659, 71,438.61 and 16,058.14 is: 24,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659 : 71,438.61 = 16,058.14 : x
  2. Step 2: Convert to fraction form
    47,659/71,438.61 = 16,058.14/x
  3. Step 3: Cross multiply
    47,659x = 71,438.61 × 16,058.14
  4. Step 4: Simplify right side
    47,659x = 1,147,171,200.79
  5. Step 5: Solve for x
    x = 1,147,171,200.79/47,659
  6. Step 6: Final answer
    x = 24,070.40

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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.