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Finding the Fourth Proportional to 30,971.95, 42,739.81 and 17,542.87

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Solution

The fourth proportional to 30,971.95, 42,739.81 and 17,542.87 is: 24,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.95 : 42,739.81 = 17,542.87 : x
  2. Step 2: Convert to fraction form
    30,971.95/42,739.81 = 17,542.87/x
  3. Step 3: Cross multiply
    30,971.95x = 42,739.81 × 17,542.87
  4. Step 4: Simplify right side
    30,971.95x = 749,778,930.65
  5. Step 5: Solve for x
    x = 749,778,930.65/30,971.95
  6. Step 6: Final answer
    x = 24,208.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.