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Finding the Fourth Proportional to 84,568.58, 116,712.54 and 46,842.86

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Solution

The fourth proportional to 84,568.58, 116,712.54 and 46,842.86 is: 64,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,568.58 : 116,712.54 = 46,842.86 : x
  2. Step 2: Convert to fraction form
    84,568.58/116,712.54 = 46,842.86/x
  3. Step 3: Cross multiply
    84,568.58x = 116,712.54 × 46,842.86
  4. Step 4: Simplify right side
    84,568.58x = 5,467,149,171.46
  5. Step 5: Solve for x
    x = 5,467,149,171.46/84,568.58
  6. Step 6: Final answer
    x = 64,647.52

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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.