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Finding the Fourth Proportional to 55,497.66, 83,246.49 and 47,157.90

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Solution

The fourth proportional to 55,497.66, 83,246.49 and 47,157.90 is: 70,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,497.66 : 83,246.49 = 47,157.90 : x
  2. Step 2: Convert to fraction form
    55,497.66/83,246.49 = 47,157.90/x
  3. Step 3: Cross multiply
    55,497.66x = 83,246.49 × 47,157.90
  4. Step 4: Simplify right side
    55,497.66x = 3,925,729,650.77
  5. Step 5: Solve for x
    x = 3,925,729,650.77/55,497.66
  6. Step 6: Final answer
    x = 70,736.85

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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.