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Finding the Fourth Proportional to 30,998.37, 42,776.85 and 17,570.86

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Solution

The fourth proportional to 30,998.37, 42,776.85 and 17,570.86 is: 24,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.37 : 42,776.85 = 17,570.86 : x
  2. Step 2: Convert to fraction form
    30,998.37/42,776.85 = 17,570.86/x
  3. Step 3: Cross multiply
    30,998.37x = 42,776.85 × 17,570.86
  4. Step 4: Simplify right side
    30,998.37x = 751,626,042.59
  5. Step 5: Solve for x
    x = 751,626,042.59/30,998.37
  6. Step 6: Final answer
    x = 24,247.28

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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.