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Finding the Fourth Proportional to 30,986.94, 46,483.48 and 9,921.68

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Solution

The fourth proportional to 30,986.94, 46,483.48 and 9,921.68 is: 14,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.94 : 46,483.48 = 9,921.68 : x
  2. Step 2: Convert to fraction form
    30,986.94/46,483.48 = 9,921.68/x
  3. Step 3: Cross multiply
    30,986.94x = 46,483.48 × 9,921.68
  4. Step 4: Simplify right side
    30,986.94x = 461,194,213.85
  5. Step 5: Solve for x
    x = 461,194,213.85/30,986.94
  6. Step 6: Final answer
    x = 14,883.50

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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.