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Finding the Fourth Proportional to 47,670.56, 71,506.35 and 14,390.90

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Solution

The fourth proportional to 47,670.56, 71,506.35 and 14,390.90 is: 21,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670.56 : 71,506.35 = 14,390.90 : x
  2. Step 2: Convert to fraction form
    47,670.56/71,506.35 = 14,390.90/x
  3. Step 3: Cross multiply
    47,670.56x = 71,506.35 × 14,390.90
  4. Step 4: Simplify right side
    47,670.56x = 1,029,040,732.22
  5. Step 5: Solve for x
    x = 1,029,040,732.22/47,670.56
  6. Step 6: Final answer
    x = 21,586.50

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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.