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Finding the Fourth Proportional to 97,976.63, 135,208.83 and 53,264.63

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Solution

The fourth proportional to 97,976.63, 135,208.83 and 53,264.63 is: 73,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,976.63 : 135,208.83 = 53,264.63 : x
  2. Step 2: Convert to fraction form
    97,976.63/135,208.83 = 53,264.63/x
  3. Step 3: Cross multiply
    97,976.63x = 135,208.83 × 53,264.63
  4. Step 4: Simplify right side
    97,976.63x = 7,201,847,626.64
  5. Step 5: Solve for x
    x = 7,201,847,626.64/97,976.63
  6. Step 6: Final answer
    x = 73,505.77

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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.