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Finding the Fourth Proportional to 34,138.38, 47,111.16 and 19,032

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Solution

The fourth proportional to 34,138.38, 47,111.16 and 19,032 is: 26,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.38 : 47,111.16 = 19,032 : x
  2. Step 2: Convert to fraction form
    34,138.38/47,111.16 = 19,032/x
  3. Step 3: Cross multiply
    34,138.38x = 47,111.16 × 19,032
  4. Step 4: Simplify right side
    34,138.38x = 896,619,597.12
  5. Step 5: Solve for x
    x = 896,619,597.12/34,138.38
  6. Step 6: Final answer
    x = 26,264.27

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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.