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Finding the Fourth Proportional to 34,024.88, 46,954.34 and 19,877.82

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Solution

The fourth proportional to 34,024.88, 46,954.34 and 19,877.82 is: 27,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024.88 : 46,954.34 = 19,877.82 : x
  2. Step 2: Convert to fraction form
    34,024.88/46,954.34 = 19,877.82/x
  3. Step 3: Cross multiply
    34,024.88x = 46,954.34 × 19,877.82
  4. Step 4: Simplify right side
    34,024.88x = 933,349,819.35
  5. Step 5: Solve for x
    x = 933,349,819.35/34,024.88
  6. Step 6: Final answer
    x = 27,431.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.