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Finding the Fourth Proportional to 34,137.73, 47,109.90 and 19,030.24

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Solution

The fourth proportional to 34,137.73, 47,109.90 and 19,030.24 is: 26,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.73 : 47,109.90 = 19,030.24 : x
  2. Step 2: Convert to fraction form
    34,137.73/47,109.90 = 19,030.24/x
  3. Step 3: Cross multiply
    34,137.73x = 47,109.90 × 19,030.24
  4. Step 4: Simplify right side
    34,137.73x = 896,512,703.38
  5. Step 5: Solve for x
    x = 896,512,703.38/34,137.73
  6. Step 6: Final answer
    x = 26,261.64

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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.