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Finding the Fourth Proportional to 82,434.84, 113,749.74 and 46,135.32

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Solution

The fourth proportional to 82,434.84, 113,749.74 and 46,135.32 is: 63,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434.84 : 113,749.74 = 46,135.32 : x
  2. Step 2: Convert to fraction form
    82,434.84/113,749.74 = 46,135.32/x
  3. Step 3: Cross multiply
    82,434.84x = 113,749.74 × 46,135.32
  4. Step 4: Simplify right side
    82,434.84x = 5,247,880,654.82
  5. Step 5: Solve for x
    x = 5,247,880,654.82/82,434.84
  6. Step 6: Final answer
    x = 63,660.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.