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Finding the Fourth Proportional to 82,618.86, 114,107.67 and 55,714.86

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Solution

The fourth proportional to 82,618.86, 114,107.67 and 55,714.86 is: 76,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618.86 : 114,107.67 = 55,714.86 : x
  2. Step 2: Convert to fraction form
    82,618.86/114,107.67 = 55,714.86/x
  3. Step 3: Cross multiply
    82,618.86x = 114,107.67 × 55,714.86
  4. Step 4: Simplify right side
    82,618.86x = 6,357,492,858.98
  5. Step 5: Solve for x
    x = 6,357,492,858.98/82,618.86
  6. Step 6: Final answer
    x = 76,949.66

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1.5x scale

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.