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Finding the Fourth Proportional to 47,835, 71,764.02 and 15,003

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Solution

The fourth proportional to 47,835, 71,764.02 and 15,003 is: 22,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,835 : 71,764.02 = 15,003 : x
  2. Step 2: Convert to fraction form
    47,835/71,764.02 = 15,003/x
  3. Step 3: Cross multiply
    47,835x = 71,764.02 × 15,003
  4. Step 4: Simplify right side
    47,835x = 1,076,675,592.06
  5. Step 5: Solve for x
    x = 1,076,675,592.06/47,835
  6. Step 6: Final answer
    x = 22,508.11

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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.