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Finding the Fourth Proportional to 82,339.76, 113,628.98 and 44,614

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Solution

The fourth proportional to 82,339.76, 113,628.98 and 44,614 is: 61,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339.76 : 113,628.98 = 44,614 : x
  2. Step 2: Convert to fraction form
    82,339.76/113,628.98 = 44,614/x
  3. Step 3: Cross multiply
    82,339.76x = 113,628.98 × 44,614
  4. Step 4: Simplify right side
    82,339.76x = 5,069,443,313.72
  5. Step 5: Solve for x
    x = 5,069,443,313.72/82,339.76
  6. Step 6: Final answer
    x = 61,567.38

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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.