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Finding the Fourth Proportional to 33,210.77, 45,830.13 and 18,102.86

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Solution

The fourth proportional to 33,210.77, 45,830.13 and 18,102.86 is: 24,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210.77 : 45,830.13 = 18,102.86 : x
  2. Step 2: Convert to fraction form
    33,210.77/45,830.13 = 18,102.86/x
  3. Step 3: Cross multiply
    33,210.77x = 45,830.13 × 18,102.86
  4. Step 4: Simplify right side
    33,210.77x = 829,656,198.02
  5. Step 5: Solve for x
    x = 829,656,198.02/33,210.77
  6. Step 6: Final answer
    x = 24,981.54

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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.