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Finding the Fourth Proportional to 75,168, 103,706.06 and 42,879.42

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Solution

The fourth proportional to 75,168, 103,706.06 and 42,879.42 is: 59,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,168 : 103,706.06 = 42,879.42 : x
  2. Step 2: Convert to fraction form
    75,168/103,706.06 = 42,879.42/x
  3. Step 3: Cross multiply
    75,168x = 103,706.06 × 42,879.42
  4. Step 4: Simplify right side
    75,168x = 4,446,855,488.89
  5. Step 5: Solve for x
    x = 4,446,855,488.89/75,168
  6. Step 6: Final answer
    x = 59,158.89

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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.