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Finding the Fourth Proportional to 84,609.84, 116,761.68 and 46,884

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Solution

The fourth proportional to 84,609.84, 116,761.68 and 46,884 is: 64,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609.84 : 116,761.68 = 46,884 : x
  2. Step 2: Convert to fraction form
    84,609.84/116,761.68 = 46,884/x
  3. Step 3: Cross multiply
    84,609.84x = 116,761.68 × 46,884
  4. Step 4: Simplify right side
    84,609.84x = 5,474,254,605.12
  5. Step 5: Solve for x
    x = 5,474,254,605.12/84,609.84
  6. Step 6: Final answer
    x = 64,699.98

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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.