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Finding the Fourth Proportional to 32,497.02, 44,841.02 and 19,743.48

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Solution

The fourth proportional to 32,497.02, 44,841.02 and 19,743.48 is: 27,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.02 : 44,841.02 = 19,743.48 : x
  2. Step 2: Convert to fraction form
    32,497.02/44,841.02 = 19,743.48/x
  3. Step 3: Cross multiply
    32,497.02x = 44,841.02 × 19,743.48
  4. Step 4: Simplify right side
    32,497.02x = 885,317,682.83
  5. Step 5: Solve for x
    x = 885,317,682.83/32,497.02
  6. Step 6: Final answer
    x = 27,243.04

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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.