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Finding the Fourth Proportional to 34,698.58, 52,044.22 and 9,739.44

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Solution

The fourth proportional to 34,698.58, 52,044.22 and 9,739.44 is: 14,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.58 : 52,044.22 = 9,739.44 : x
  2. Step 2: Convert to fraction form
    34,698.58/52,044.22 = 9,739.44/x
  3. Step 3: Cross multiply
    34,698.58x = 52,044.22 × 9,739.44
  4. Step 4: Simplify right side
    34,698.58x = 506,881,570.21
  5. Step 5: Solve for x
    x = 506,881,570.21/34,698.58
  6. Step 6: Final answer
    x = 14,608.14

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Why These Related Problems?

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