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Finding the Fourth Proportional to 74,590.72, 102,911.96 and 42,320

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Solution

The fourth proportional to 74,590.72, 102,911.96 and 42,320 is: 58,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,590.72 : 102,911.96 = 42,320 : x
  2. Step 2: Convert to fraction form
    74,590.72/102,911.96 = 42,320/x
  3. Step 3: Cross multiply
    74,590.72x = 102,911.96 × 42,320
  4. Step 4: Simplify right side
    74,590.72x = 4,355,234,147.20
  5. Step 5: Solve for x
    x = 4,355,234,147.20/74,590.72
  6. Step 6: Final answer
    x = 58,388.42

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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.