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Finding the Fourth Proportional to 47,702.50, 71,514.63 and 21,029.59

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Solution

The fourth proportional to 47,702.50, 71,514.63 and 21,029.59 is: 31,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.50 : 71,514.63 = 21,029.59 : x
  2. Step 2: Convert to fraction form
    47,702.50/71,514.63 = 21,029.59/x
  3. Step 3: Cross multiply
    47,702.50x = 71,514.63 × 21,029.59
  4. Step 4: Simplify right side
    47,702.50x = 1,503,923,347.90
  5. Step 5: Solve for x
    x = 1,503,923,347.90/47,702.50
  6. Step 6: Final answer
    x = 31,527.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.