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Finding the Fourth Proportional to 84,493.85, 116,599.70 and 46,252.40

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Solution

The fourth proportional to 84,493.85, 116,599.70 and 46,252.40 is: 63,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,493.85 : 116,599.70 = 46,252.40 : x
  2. Step 2: Convert to fraction form
    84,493.85/116,599.70 = 46,252.40/x
  3. Step 3: Cross multiply
    84,493.85x = 116,599.70 × 46,252.40
  4. Step 4: Simplify right side
    84,493.85x = 5,393,015,496.91
  5. Step 5: Solve for x
    x = 5,393,015,496.91/84,493.85
  6. Step 6: Final answer
    x = 63,827.32

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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.