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Finding the Fourth Proportional to 84,262.63, 116,335.02 and 53,653

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Solution

The fourth proportional to 84,262.63, 116,335.02 and 53,653 is: 74,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262.63 : 116,335.02 = 53,653 : x
  2. Step 2: Convert to fraction form
    84,262.63/116,335.02 = 53,653/x
  3. Step 3: Cross multiply
    84,262.63x = 116,335.02 × 53,653
  4. Step 4: Simplify right side
    84,262.63x = 6,241,722,828.06
  5. Step 5: Solve for x
    x = 6,241,722,828.06/84,262.63
  6. Step 6: Final answer
    x = 74,074.63

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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.