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Finding the Fourth Proportional to 98,286, 135,635.76 and 53,574

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Solution

The fourth proportional to 98,286, 135,635.76 and 53,574 is: 73,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286 : 135,635.76 = 53,574 : x
  2. Step 2: Convert to fraction form
    98,286/135,635.76 = 53,574/x
  3. Step 3: Cross multiply
    98,286x = 135,635.76 × 53,574
  4. Step 4: Simplify right side
    98,286x = 7,266,550,206.24
  5. Step 5: Solve for x
    x = 7,266,550,206.24/98,286
  6. Step 6: Final answer
    x = 73,932.71

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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.