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Finding the Fourth Proportional to 82,364.85, 113,670.54 and 46,561.23

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Solution

The fourth proportional to 82,364.85, 113,670.54 and 46,561.23 is: 64,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.85 : 113,670.54 = 46,561.23 : x
  2. Step 2: Convert to fraction form
    82,364.85/113,670.54 = 46,561.23/x
  3. Step 3: Cross multiply
    82,364.85x = 113,670.54 × 46,561.23
  4. Step 4: Simplify right side
    82,364.85x = 5,292,640,157.16
  5. Step 5: Solve for x
    x = 5,292,640,157.16/82,364.85
  6. Step 6: Final answer
    x = 64,258.48

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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.