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Finding the Fourth Proportional to 98,214, 135,535.32 and 53,502

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Solution

The fourth proportional to 98,214, 135,535.32 and 53,502 is: 73,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214 : 135,535.32 = 53,502 : x
  2. Step 2: Convert to fraction form
    98,214/135,535.32 = 53,502/x
  3. Step 3: Cross multiply
    98,214x = 135,535.32 × 53,502
  4. Step 4: Simplify right side
    98,214x = 7,251,410,690.64
  5. Step 5: Solve for x
    x = 7,251,410,690.64/98,214
  6. Step 6: Final answer
    x = 73,832.76

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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.