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Finding the Fourth Proportional to 84,054.84, 116,006.76 and 53,845.08

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Solution

The fourth proportional to 84,054.84, 116,006.76 and 53,845.08 is: 74,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,054.84 : 116,006.76 = 53,845.08 : x
  2. Step 2: Convert to fraction form
    84,054.84/116,006.76 = 53,845.08/x
  3. Step 3: Cross multiply
    84,054.84x = 116,006.76 × 53,845.08
  4. Step 4: Simplify right side
    84,054.84x = 6,246,393,272.74
  5. Step 5: Solve for x
    x = 6,246,393,272.74/84,054.84
  6. Step 6: Final answer
    x = 74,313.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.