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Finding the Fourth Proportional to 47,502, 71,264.52 and 14,670

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Solution

The fourth proportional to 47,502, 71,264.52 and 14,670 is: 22,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 71,264.52 = 14,670 : x
  2. Step 2: Convert to fraction form
    47,502/71,264.52 = 14,670/x
  3. Step 3: Cross multiply
    47,502x = 71,264.52 × 14,670
  4. Step 4: Simplify right side
    47,502x = 1,045,450,508.40
  5. Step 5: Solve for x
    x = 1,045,450,508.40/47,502
  6. Step 6: Final answer
    x = 22,008.56

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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.