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Finding the Fourth Proportional to 34,044.68, 46,978.36 and 19,701.66

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Solution

The fourth proportional to 34,044.68, 46,978.36 and 19,701.66 is: 27,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044.68 : 46,978.36 = 19,701.66 : x
  2. Step 2: Convert to fraction form
    34,044.68/46,978.36 = 19,701.66/x
  3. Step 3: Cross multiply
    34,044.68x = 46,978.36 × 19,701.66
  4. Step 4: Simplify right side
    34,044.68x = 925,551,676.08
  5. Step 5: Solve for x
    x = 925,551,676.08/34,044.68
  6. Step 6: Final answer
    x = 27,186.38

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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.