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Finding the Fourth Proportional to 98,277, 135,622.32 and 53,565

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Solution

The fourth proportional to 98,277, 135,622.32 and 53,565 is: 73,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,277 : 135,622.32 = 53,565 : x
  2. Step 2: Convert to fraction form
    98,277/135,622.32 = 53,565/x
  3. Step 3: Cross multiply
    98,277x = 135,622.32 × 53,565
  4. Step 4: Simplify right side
    98,277x = 7,264,609,570.80
  5. Step 5: Solve for x
    x = 7,264,609,570.80/98,277
  6. Step 6: Final answer
    x = 73,919.73

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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.