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Finding the Fourth Proportional to 82,117.91, 113,322.25 and 46,308.22

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Solution

The fourth proportional to 82,117.91, 113,322.25 and 46,308.22 is: 63,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.91 : 113,322.25 = 46,308.22 : x
  2. Step 2: Convert to fraction form
    82,117.91/113,322.25 = 46,308.22/x
  3. Step 3: Cross multiply
    82,117.91x = 113,322.25 × 46,308.22
  4. Step 4: Simplify right side
    82,117.91x = 5,247,751,683.90
  5. Step 5: Solve for x
    x = 5,247,751,683.90/82,117.91
  6. Step 6: Final answer
    x = 63,905.08

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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.