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Finding the Fourth Proportional to 98,066, 135,331.08 and 53,354.32

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Solution

The fourth proportional to 98,066, 135,331.08 and 53,354.32 is: 73,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,066 : 135,331.08 = 53,354.32 : x
  2. Step 2: Convert to fraction form
    98,066/135,331.08 = 53,354.32/x
  3. Step 3: Cross multiply
    98,066x = 135,331.08 × 53,354.32
  4. Step 4: Simplify right side
    98,066x = 7,220,497,748.27
  5. Step 5: Solve for x
    x = 7,220,497,748.27/98,066
  6. Step 6: Final answer
    x = 73,628.96

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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.