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Finding the Fourth Proportional to 81,881.88, 113,003.64 and 46,069.80

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Solution

The fourth proportional to 81,881.88, 113,003.64 and 46,069.80 is: 63,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.88 : 113,003.64 = 46,069.80 : x
  2. Step 2: Convert to fraction form
    81,881.88/113,003.64 = 46,069.80/x
  3. Step 3: Cross multiply
    81,881.88x = 113,003.64 × 46,069.80
  4. Step 4: Simplify right side
    81,881.88x = 5,206,055,094.07
  5. Step 5: Solve for x
    x = 5,206,055,094.07/81,881.88
  6. Step 6: Final answer
    x = 63,580.06

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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.