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Finding the Fourth Proportional to 30,938.36, 42,695.91 and 17,509.37

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Solution

The fourth proportional to 30,938.36, 42,695.91 and 17,509.37 is: 24,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.36 : 42,695.91 = 17,509.37 : x
  2. Step 2: Convert to fraction form
    30,938.36/42,695.91 = 17,509.37/x
  3. Step 3: Cross multiply
    30,938.36x = 42,695.91 × 17,509.37
  4. Step 4: Simplify right side
    30,938.36x = 747,578,272.20
  5. Step 5: Solve for x
    x = 747,578,272.20/30,938.36
  6. Step 6: Final answer
    x = 24,163.48

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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.