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Finding the Fourth Proportional to 31,442.48, 43,390.16 and 17,294.48

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Solution

The fourth proportional to 31,442.48, 43,390.16 and 17,294.48 is: 23,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.48 : 43,390.16 = 17,294.48 : x
  2. Step 2: Convert to fraction form
    31,442.48/43,390.16 = 17,294.48/x
  3. Step 3: Cross multiply
    31,442.48x = 43,390.16 × 17,294.48
  4. Step 4: Simplify right side
    31,442.48x = 750,410,254.32
  5. Step 5: Solve for x
    x = 750,410,254.32/31,442.48
  6. Step 6: Final answer
    x = 23,866.13

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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.