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Finding the Fourth Proportional to 171,553.96, 257,322.70 and 46,895.24

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Solution

The fourth proportional to 171,553.96, 257,322.70 and 46,895.24 is: 70,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,553.96 : 257,322.70 = 46,895.24 : x
  2. Step 2: Convert to fraction form
    171,553.96/257,322.70 = 46,895.24/x
  3. Step 3: Cross multiply
    171,553.96x = 257,322.70 × 46,895.24
  4. Step 4: Simplify right side
    171,553.96x = 12,067,209,773.95
  5. Step 5: Solve for x
    x = 12,067,209,773.95/171,553.96
  6. Step 6: Final answer
    x = 70,340.61

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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.