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Finding the Fourth Proportional to 34,221.51, 47,225.19 and 19,114.39

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Solution

The fourth proportional to 34,221.51, 47,225.19 and 19,114.39 is: 26,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221.51 : 47,225.19 = 19,114.39 : x
  2. Step 2: Convert to fraction form
    34,221.51/47,225.19 = 19,114.39/x
  3. Step 3: Cross multiply
    34,221.51x = 47,225.19 × 19,114.39
  4. Step 4: Simplify right side
    34,221.51x = 902,680,699.48
  5. Step 5: Solve for x
    x = 902,680,699.48/34,221.51
  6. Step 6: Final answer
    x = 26,377.58

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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.