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Finding the Fourth Proportional to 34,703.88, 52,078.56 and 13,929

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Solution

The fourth proportional to 34,703.88, 52,078.56 and 13,929 is: 20,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,703.88 : 52,078.56 = 13,929 : x
  2. Step 2: Convert to fraction form
    34,703.88/52,078.56 = 13,929/x
  3. Step 3: Cross multiply
    34,703.88x = 52,078.56 × 13,929
  4. Step 4: Simplify right side
    34,703.88x = 725,402,262.24
  5. Step 5: Solve for x
    x = 725,402,262.24/34,703.88
  6. Step 6: Final answer
    x = 20,902.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.