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Finding the Fourth Proportional to 20,051.91, 30,068.42 and 6,006.51

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Solution

The fourth proportional to 20,051.91, 30,068.42 and 6,006.51 is: 9,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.91 : 30,068.42 = 6,006.51 : x
  2. Step 2: Convert to fraction form
    20,051.91/30,068.42 = 6,006.51/x
  3. Step 3: Cross multiply
    20,051.91x = 30,068.42 × 6,006.51
  4. Step 4: Simplify right side
    20,051.91x = 180,606,235.38
  5. Step 5: Solve for x
    x = 180,606,235.38/20,051.91
  6. Step 6: Final answer
    x = 9,006.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.