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Finding the Fourth Proportional to 33,102.85, 45,678.51 and 19,671.51

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Solution

The fourth proportional to 33,102.85, 45,678.51 and 19,671.51 is: 27,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.85 : 45,678.51 = 19,671.51 : x
  2. Step 2: Convert to fraction form
    33,102.85/45,678.51 = 19,671.51/x
  3. Step 3: Cross multiply
    33,102.85x = 45,678.51 × 19,671.51
  4. Step 4: Simplify right side
    33,102.85x = 898,565,538.82
  5. Step 5: Solve for x
    x = 898,565,538.82/33,102.85
  6. Step 6: Final answer
    x = 27,144.66

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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.