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Finding the Fourth Proportional to 84,612.84, 116,765.82 and 46,887

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Solution

The fourth proportional to 84,612.84, 116,765.82 and 46,887 is: 64,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,612.84 : 116,765.82 = 46,887 : x
  2. Step 2: Convert to fraction form
    84,612.84/116,765.82 = 46,887/x
  3. Step 3: Cross multiply
    84,612.84x = 116,765.82 × 46,887
  4. Step 4: Simplify right side
    84,612.84x = 5,474,799,002.34
  5. Step 5: Solve for x
    x = 5,474,799,002.34/84,612.84
  6. Step 6: Final answer
    x = 64,704.12

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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.