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Finding the Fourth Proportional to 31,125.40, 46,655.70 and 17,063.80

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Solution

The fourth proportional to 31,125.40, 46,655.70 and 17,063.80 is: 25,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.40 : 46,655.70 = 17,063.80 : x
  2. Step 2: Convert to fraction form
    31,125.40/46,655.70 = 17,063.80/x
  3. Step 3: Cross multiply
    31,125.40x = 46,655.70 × 17,063.80
  4. Step 4: Simplify right side
    31,125.40x = 796,123,533.66
  5. Step 5: Solve for x
    x = 796,123,533.66/31,125.40
  6. Step 6: Final answer
    x = 25,577.94

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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.