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Finding the Fourth Proportional to 82,433.84, 113,748.36 and 46,134.32

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Solution

The fourth proportional to 82,433.84, 113,748.36 and 46,134.32 is: 63,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.84 : 113,748.36 = 46,134.32 : x
  2. Step 2: Convert to fraction form
    82,433.84/113,748.36 = 46,134.32/x
  3. Step 3: Cross multiply
    82,433.84x = 113,748.36 × 46,134.32
  4. Step 4: Simplify right side
    82,433.84x = 5,247,703,239.72
  5. Step 5: Solve for x
    x = 5,247,703,239.72/82,433.84
  6. Step 6: Final answer
    x = 63,659.58

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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.