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Finding the Fourth Proportional to 82,714.50, 114,146.55 and 44,989.02

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Solution

The fourth proportional to 82,714.50, 114,146.55 and 44,989.02 is: 62,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.50 : 114,146.55 = 44,989.02 : x
  2. Step 2: Convert to fraction form
    82,714.50/114,146.55 = 44,989.02/x
  3. Step 3: Cross multiply
    82,714.50x = 114,146.55 × 44,989.02
  4. Step 4: Simplify right side
    82,714.50x = 5,135,341,420.88
  5. Step 5: Solve for x
    x = 5,135,341,420.88/82,714.50
  6. Step 6: Final answer
    x = 62,085.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.