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Finding the Fourth Proportional to 122,471.21, 183,718.44 and 47,597.14

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Solution

The fourth proportional to 122,471.21, 183,718.44 and 47,597.14 is: 71,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,471.21 : 183,718.44 = 47,597.14 : x
  2. Step 2: Convert to fraction form
    122,471.21/183,718.44 = 47,597.14/x
  3. Step 3: Cross multiply
    122,471.21x = 183,718.44 × 47,597.14
  4. Step 4: Simplify right side
    122,471.21x = 8,744,472,538.91
  5. Step 5: Solve for x
    x = 8,744,472,538.91/122,471.21
  6. Step 6: Final answer
    x = 71,400.23

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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.