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Finding the Fourth Proportional to 42,782.67, 64,120.50 and 20,590.11

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Solution

The fourth proportional to 42,782.67, 64,120.50 and 20,590.11 is: 30,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.67 : 64,120.50 = 20,590.11 : x
  2. Step 2: Convert to fraction form
    42,782.67/64,120.50 = 20,590.11/x
  3. Step 3: Cross multiply
    42,782.67x = 64,120.50 × 20,590.11
  4. Step 4: Simplify right side
    42,782.67x = 1,320,248,148.26
  5. Step 5: Solve for x
    x = 1,320,248,148.26/42,782.67
  6. Step 6: Final answer
    x = 30,859.41

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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.