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Finding the Fourth Proportional to 34,058, 46,992.90 and 19,908.08

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Solution

The fourth proportional to 34,058, 46,992.90 and 19,908.08 is: 27,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058 : 46,992.90 = 19,908.08 : x
  2. Step 2: Convert to fraction form
    34,058/46,992.90 = 19,908.08/x
  3. Step 3: Cross multiply
    34,058x = 46,992.90 × 19,908.08
  4. Step 4: Simplify right side
    34,058x = 935,538,412.63
  5. Step 5: Solve for x
    x = 935,538,412.63/34,058
  6. Step 6: Final answer
    x = 27,468.98

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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.