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Finding the Fourth Proportional to 82,634.82, 114,036 and 44,909.06

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Solution

The fourth proportional to 82,634.82, 114,036 and 44,909.06 is: 61,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,634.82 : 114,036 = 44,909.06 : x
  2. Step 2: Convert to fraction form
    82,634.82/114,036 = 44,909.06/x
  3. Step 3: Cross multiply
    82,634.82x = 114,036 × 44,909.06
  4. Step 4: Simplify right side
    82,634.82x = 5,121,249,566.16
  5. Step 5: Solve for x
    x = 5,121,249,566.16/82,634.82
  6. Step 6: Final answer
    x = 61,974.47

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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.