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Finding the Fourth Proportional to 32,714.16, 49,081.07 and 10,223.93

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Solution

The fourth proportional to 32,714.16, 49,081.07 and 10,223.93 is: 15,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.16 : 49,081.07 = 10,223.93 : x
  2. Step 2: Convert to fraction form
    32,714.16/49,081.07 = 10,223.93/x
  3. Step 3: Cross multiply
    32,714.16x = 49,081.07 × 10,223.93
  4. Step 4: Simplify right side
    32,714.16x = 501,801,127.48
  5. Step 5: Solve for x
    x = 501,801,127.48/32,714.16
  6. Step 6: Final answer
    x = 15,338.96

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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.