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Finding the Fourth Proportional to 33,501.64, 46,227 and 19,351.76

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Solution

The fourth proportional to 33,501.64, 46,227 and 19,351.76 is: 26,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,501.64 : 46,227 = 19,351.76 : x
  2. Step 2: Convert to fraction form
    33,501.64/46,227 = 19,351.76/x
  3. Step 3: Cross multiply
    33,501.64x = 46,227 × 19,351.76
  4. Step 4: Simplify right side
    33,501.64x = 894,573,809.52
  5. Step 5: Solve for x
    x = 894,573,809.52/33,501.64
  6. Step 6: Final answer
    x = 26,702.39

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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.