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Finding the Fourth Proportional to 82,427.94, 113,749.22 and 46,616.61

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Solution

The fourth proportional to 82,427.94, 113,749.22 and 46,616.61 is: 64,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,427.94 : 113,749.22 = 46,616.61 : x
  2. Step 2: Convert to fraction form
    82,427.94/113,749.22 = 46,616.61/x
  3. Step 3: Cross multiply
    82,427.94x = 113,749.22 × 46,616.61
  4. Step 4: Simplify right side
    82,427.94x = 5,302,602,793.46
  5. Step 5: Solve for x
    x = 5,302,602,793.46/82,427.94
  6. Step 6: Final answer
    x = 64,330.16

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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.