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Finding the Fourth Proportional to 82,714.34, 114,144.72 and 44,988.60

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Solution

The fourth proportional to 82,714.34, 114,144.72 and 44,988.60 is: 62,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.34 : 114,144.72 = 44,988.60 : x
  2. Step 2: Convert to fraction form
    82,714.34/114,144.72 = 44,988.60/x
  3. Step 3: Cross multiply
    82,714.34x = 114,144.72 × 44,988.60
  4. Step 4: Simplify right side
    82,714.34x = 5,135,211,150.19
  5. Step 5: Solve for x
    x = 5,135,211,150.19/82,714.34
  6. Step 6: Final answer
    x = 62,083.69

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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.