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Finding the Fourth Proportional to 34,137.75, 47,110.29 and 19,031.36

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Solution

The fourth proportional to 34,137.75, 47,110.29 and 19,031.36 is: 26,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.75 : 47,110.29 = 19,031.36 : x
  2. Step 2: Convert to fraction form
    34,137.75/47,110.29 = 19,031.36/x
  3. Step 3: Cross multiply
    34,137.75x = 47,110.29 × 19,031.36
  4. Step 4: Simplify right side
    34,137.75x = 896,572,888.69
  5. Step 5: Solve for x
    x = 896,572,888.69/34,137.75
  6. Step 6: Final answer
    x = 26,263.39

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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.