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Finding the Fourth Proportional to 30,757.76, 46,138.54 and 9,698.52

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Solution

The fourth proportional to 30,757.76, 46,138.54 and 9,698.52 is: 14,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.76 : 46,138.54 = 9,698.52 : x
  2. Step 2: Convert to fraction form
    30,757.76/46,138.54 = 9,698.52/x
  3. Step 3: Cross multiply
    30,757.76x = 46,138.54 × 9,698.52
  4. Step 4: Simplify right side
    30,757.76x = 447,475,552.96
  5. Step 5: Solve for x
    x = 447,475,552.96/30,757.76
  6. Step 6: Final answer
    x = 14,548.38

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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.