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Finding the Fourth Proportional to 31,972, 44,122.88 and 17,824.84

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Solution

The fourth proportional to 31,972, 44,122.88 and 17,824.84 is: 24,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972 : 44,122.88 = 17,824.84 : x
  2. Step 2: Convert to fraction form
    31,972/44,122.88 = 17,824.84/x
  3. Step 3: Cross multiply
    31,972x = 44,122.88 × 17,824.84
  4. Step 4: Simplify right side
    31,972x = 786,483,276.34
  5. Step 5: Solve for x
    x = 786,483,276.34/31,972
  6. Step 6: Final answer
    x = 24,599.13

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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.