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Finding the Fourth Proportional to 45,714.45, 68,598.92 and 20,412

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Solution

The fourth proportional to 45,714.45, 68,598.92 and 20,412 is: 30,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,714.45 : 68,598.92 = 20,412 : x
  2. Step 2: Convert to fraction form
    45,714.45/68,598.92 = 20,412/x
  3. Step 3: Cross multiply
    45,714.45x = 68,598.92 × 20,412
  4. Step 4: Simplify right side
    45,714.45x = 1,400,241,155.04
  5. Step 5: Solve for x
    x = 1,400,241,155.04/45,714.45
  6. Step 6: Final answer
    x = 30,630.17

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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.