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Finding the Fourth Proportional to 30,364.74, 45,484.20 and 17,847

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Solution

The fourth proportional to 30,364.74, 45,484.20 and 17,847 is: 26,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.74 : 45,484.20 = 17,847 : x
  2. Step 2: Convert to fraction form
    30,364.74/45,484.20 = 17,847/x
  3. Step 3: Cross multiply
    30,364.74x = 45,484.20 × 17,847
  4. Step 4: Simplify right side
    30,364.74x = 811,756,517.40
  5. Step 5: Solve for x
    x = 811,756,517.40/30,364.74
  6. Step 6: Final answer
    x = 26,733.52

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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.