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Finding the Fourth Proportional to 82,509, 113,859.37 and 44,782.44

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Solution

The fourth proportional to 82,509, 113,859.37 and 44,782.44 is: 61,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509 : 113,859.37 = 44,782.44 : x
  2. Step 2: Convert to fraction form
    82,509/113,859.37 = 44,782.44/x
  3. Step 3: Cross multiply
    82,509x = 113,859.37 × 44,782.44
  4. Step 4: Simplify right side
    82,509x = 5,098,900,405.46
  5. Step 5: Solve for x
    x = 5,098,900,405.46/82,509
  6. Step 6: Final answer
    x = 61,798.11

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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.