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Finding the Fourth Proportional to 82,359.75, 113,656.86 and 44,634

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Solution

The fourth proportional to 82,359.75, 113,656.86 and 44,634 is: 61,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359.75 : 113,656.86 = 44,634 : x
  2. Step 2: Convert to fraction form
    82,359.75/113,656.86 = 44,634/x
  3. Step 3: Cross multiply
    82,359.75x = 113,656.86 × 44,634
  4. Step 4: Simplify right side
    82,359.75x = 5,072,960,289.24
  5. Step 5: Solve for x
    x = 5,072,960,289.24/82,359.75
  6. Step 6: Final answer
    x = 61,595.14

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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.