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Finding the Fourth Proportional to 32,703.90, 49,051.24 and 10,514.46

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Solution

The fourth proportional to 32,703.90, 49,051.24 and 10,514.46 is: 15,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703.90 : 49,051.24 = 10,514.46 : x
  2. Step 2: Convert to fraction form
    32,703.90/49,051.24 = 10,514.46/x
  3. Step 3: Cross multiply
    32,703.90x = 49,051.24 × 10,514.46
  4. Step 4: Simplify right side
    32,703.90x = 515,747,143.27
  5. Step 5: Solve for x
    x = 515,747,143.27/32,703.90
  6. Step 6: Final answer
    x = 15,770.20

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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.