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Finding the Fourth Proportional to 31,086.50, 42,897.84 and 17,655.99

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Solution

The fourth proportional to 31,086.50, 42,897.84 and 17,655.99 is: 24,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.50 : 42,897.84 = 17,655.99 : x
  2. Step 2: Convert to fraction form
    31,086.50/42,897.84 = 17,655.99/x
  3. Step 3: Cross multiply
    31,086.50x = 42,897.84 × 17,655.99
  4. Step 4: Simplify right side
    31,086.50x = 757,403,606.98
  5. Step 5: Solve for x
    x = 757,403,606.98/31,086.50
  6. Step 6: Final answer
    x = 24,364.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.