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Finding the Fourth Proportional to 82,808.72, 114,279.51 and 47,002.05

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Solution

The fourth proportional to 82,808.72, 114,279.51 and 47,002.05 is: 64,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.72 : 114,279.51 = 47,002.05 : x
  2. Step 2: Convert to fraction form
    82,808.72/114,279.51 = 47,002.05/x
  3. Step 3: Cross multiply
    82,808.72x = 114,279.51 × 47,002.05
  4. Step 4: Simplify right side
    82,808.72x = 5,371,371,243.00
  5. Step 5: Solve for x
    x = 5,371,371,243.00/82,808.72
  6. Step 6: Final answer
    x = 64,864.81

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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.