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Finding the Fourth Proportional to 43,970.45, 65,714.22 and 32,149.08

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Solution

The fourth proportional to 43,970.45, 65,714.22 and 32,149.08 is: 48,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,970.45 : 65,714.22 = 32,149.08 : x
  2. Step 2: Convert to fraction form
    43,970.45/65,714.22 = 32,149.08/x
  3. Step 3: Cross multiply
    43,970.45x = 65,714.22 × 32,149.08
  4. Step 4: Simplify right side
    43,970.45x = 2,112,651,715.92
  5. Step 5: Solve for x
    x = 2,112,651,715.92/43,970.45
  6. Step 6: Final answer
    x = 48,047.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.