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Finding the Fourth Proportional to 82,610.19, 114,000.63 and 44,884.17

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Solution

The fourth proportional to 82,610.19, 114,000.63 and 44,884.17 is: 61,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,610.19 : 114,000.63 = 44,884.17 : x
  2. Step 2: Convert to fraction form
    82,610.19/114,000.63 = 44,884.17/x
  3. Step 3: Cross multiply
    82,610.19x = 114,000.63 × 44,884.17
  4. Step 4: Simplify right side
    82,610.19x = 5,116,823,657.03
  5. Step 5: Solve for x
    x = 5,116,823,657.03/82,610.19
  6. Step 6: Final answer
    x = 61,939.38

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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.