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Finding the Fourth Proportional to 34,146, 47,124.36 and 19,244.88

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Solution

The fourth proportional to 34,146, 47,124.36 and 19,244.88 is: 26,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146 : 47,124.36 = 19,244.88 : x
  2. Step 2: Convert to fraction form
    34,146/47,124.36 = 19,244.88/x
  3. Step 3: Cross multiply
    34,146x = 47,124.36 × 19,244.88
  4. Step 4: Simplify right side
    34,146x = 906,902,653.28
  5. Step 5: Solve for x
    x = 906,902,653.28/34,146
  6. Step 6: Final answer
    x = 26,559.56

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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.