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Finding the Fourth Proportional to 30,471.56, 45,702.70 and 11,748.86

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Solution

The fourth proportional to 30,471.56, 45,702.70 and 11,748.86 is: 17,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.56 : 45,702.70 = 11,748.86 : x
  2. Step 2: Convert to fraction form
    30,471.56/45,702.70 = 11,748.86/x
  3. Step 3: Cross multiply
    30,471.56x = 45,702.70 × 11,748.86
  4. Step 4: Simplify right side
    30,471.56x = 536,954,623.92
  5. Step 5: Solve for x
    x = 536,954,623.92/30,471.56
  6. Step 6: Final answer
    x = 17,621.50

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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.