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Finding the Fourth Proportional to 81,924.09, 122,886.08 and 46,839.15

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Solution

The fourth proportional to 81,924.09, 122,886.08 and 46,839.15 is: 70,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,924.09 : 122,886.08 = 46,839.15 : x
  2. Step 2: Convert to fraction form
    81,924.09/122,886.08 = 46,839.15/x
  3. Step 3: Cross multiply
    81,924.09x = 122,886.08 × 46,839.15
  4. Step 4: Simplify right side
    81,924.09x = 5,755,879,534.03
  5. Step 5: Solve for x
    x = 5,755,879,534.03/81,924.09
  6. Step 6: Final answer
    x = 70,258.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.