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Finding the Fourth Proportional to 60,209.30, 90,314.86 and 22,787

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Solution

The fourth proportional to 60,209.30, 90,314.86 and 22,787 is: 34,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,209.30 : 90,314.86 = 22,787 : x
  2. Step 2: Convert to fraction form
    60,209.30/90,314.86 = 22,787/x
  3. Step 3: Cross multiply
    60,209.30x = 90,314.86 × 22,787
  4. Step 4: Simplify right side
    60,209.30x = 2,058,004,714.82
  5. Step 5: Solve for x
    x = 2,058,004,714.82/60,209.30
  6. Step 6: Final answer
    x = 34,180.84

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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.