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Finding the Fourth Proportional to 30,103.52, 45,183.02 and 15,323

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Solution

The fourth proportional to 30,103.52, 45,183.02 and 15,323 is: 22,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.52 : 45,183.02 = 15,323 : x
  2. Step 2: Convert to fraction form
    30,103.52/45,183.02 = 15,323/x
  3. Step 3: Cross multiply
    30,103.52x = 45,183.02 × 15,323
  4. Step 4: Simplify right side
    30,103.52x = 692,339,415.46
  5. Step 5: Solve for x
    x = 692,339,415.46/30,103.52
  6. Step 6: Final answer
    x = 22,998.62

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1.5x scale

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.