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Finding the Fourth Proportional to 33,253.29, 45,897.42 and 19,114.35

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Solution

The fourth proportional to 33,253.29, 45,897.42 and 19,114.35 is: 26,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,253.29 : 45,897.42 = 19,114.35 : x
  2. Step 2: Convert to fraction form
    33,253.29/45,897.42 = 19,114.35/x
  3. Step 3: Cross multiply
    33,253.29x = 45,897.42 × 19,114.35
  4. Step 4: Simplify right side
    33,253.29x = 877,299,349.98
  5. Step 5: Solve for x
    x = 877,299,349.98/33,253.29
  6. Step 6: Final answer
    x = 26,382.33

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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.