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Finding the Fourth Proportional to 30,198.55, 45,277.84 and 14,406.02

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Solution

The fourth proportional to 30,198.55, 45,277.84 and 14,406.02 is: 21,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.55 : 45,277.84 = 14,406.02 : x
  2. Step 2: Convert to fraction form
    30,198.55/45,277.84 = 14,406.02/x
  3. Step 3: Cross multiply
    30,198.55x = 45,277.84 × 14,406.02
  4. Step 4: Simplify right side
    30,198.55x = 652,273,561.69
  5. Step 5: Solve for x
    x = 652,273,561.69/30,198.55
  6. Step 6: Final answer
    x = 21,599.50

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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.