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Finding the Fourth Proportional to 84,524, 116,643.12 and 46,800.68

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Solution

The fourth proportional to 84,524, 116,643.12 and 46,800.68 is: 64,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524 : 116,643.12 = 46,800.68 : x
  2. Step 2: Convert to fraction form
    84,524/116,643.12 = 46,800.68/x
  3. Step 3: Cross multiply
    84,524x = 116,643.12 × 46,800.68
  4. Step 4: Simplify right side
    84,524x = 5,458,977,333.32
  5. Step 5: Solve for x
    x = 5,458,977,333.32/84,524
  6. Step 6: Final answer
    x = 64,584.94

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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.