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Finding the Fourth Proportional to 90,984.88, 136,477.32 and 35,542

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Solution

The fourth proportional to 90,984.88, 136,477.32 and 35,542 is: 53,313

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984.88 : 136,477.32 = 35,542 : x
  2. Step 2: Convert to fraction form
    90,984.88/136,477.32 = 35,542/x
  3. Step 3: Cross multiply
    90,984.88x = 136,477.32 × 35,542
  4. Step 4: Simplify right side
    90,984.88x = 4,850,676,907.44
  5. Step 5: Solve for x
    x = 4,850,676,907.44/90,984.88
  6. Step 6: Final answer
    x = 53,313

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.