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Finding the Fourth Proportional to 32,469.52, 44,807.56 and 19,038

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Solution

The fourth proportional to 32,469.52, 44,807.56 and 19,038 is: 26,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.52 : 44,807.56 = 19,038 : x
  2. Step 2: Convert to fraction form
    32,469.52/44,807.56 = 19,038/x
  3. Step 3: Cross multiply
    32,469.52x = 44,807.56 × 19,038
  4. Step 4: Simplify right side
    32,469.52x = 853,046,327.28
  5. Step 5: Solve for x
    x = 853,046,327.28/32,469.52
  6. Step 6: Final answer
    x = 26,272.22

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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.