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Finding the Fourth Proportional to 82,708.12, 114,104.13 and 54,018.01

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Solution

The fourth proportional to 82,708.12, 114,104.13 and 54,018.01 is: 74,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.12 : 114,104.13 = 54,018.01 : x
  2. Step 2: Convert to fraction form
    82,708.12/114,104.13 = 54,018.01/x
  3. Step 3: Cross multiply
    82,708.12x = 114,104.13 × 54,018.01
  4. Step 4: Simplify right side
    82,708.12x = 6,163,677,464.86
  5. Step 5: Solve for x
    x = 6,163,677,464.86/82,708.12
  6. Step 6: Final answer
    x = 74,523.25

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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.