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Finding the Fourth Proportional to 98,343.51, 135,713.91 and 53,631.51

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Solution

The fourth proportional to 98,343.51, 135,713.91 and 53,631.51 is: 74,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343.51 : 135,713.91 = 53,631.51 : x
  2. Step 2: Convert to fraction form
    98,343.51/135,713.91 = 53,631.51/x
  3. Step 3: Cross multiply
    98,343.51x = 135,713.91 × 53,631.51
  4. Step 4: Simplify right side
    98,343.51x = 7,278,541,921.30
  5. Step 5: Solve for x
    x = 7,278,541,921.30/98,343.51
  6. Step 6: Final answer
    x = 74,011.41

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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.