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Finding the Fourth Proportional to 34,215.88, 47,192.34 and 23,035.72

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Solution

The fourth proportional to 34,215.88, 47,192.34 and 23,035.72 is: 31,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215.88 : 47,192.34 = 23,035.72 : x
  2. Step 2: Convert to fraction form
    34,215.88/47,192.34 = 23,035.72/x
  3. Step 3: Cross multiply
    34,215.88x = 47,192.34 × 23,035.72
  4. Step 4: Simplify right side
    34,215.88x = 1,087,109,530.38
  5. Step 5: Solve for x
    x = 1,087,109,530.38/34,215.88
  6. Step 6: Final answer
    x = 31,772.08

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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.