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Finding the Fourth Proportional to 30,223.94, 45,330.84 and 8,037.63

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Solution

The fourth proportional to 30,223.94, 45,330.84 and 8,037.63 is: 12,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.94 : 45,330.84 = 8,037.63 : x
  2. Step 2: Convert to fraction form
    30,223.94/45,330.84 = 8,037.63/x
  3. Step 3: Cross multiply
    30,223.94x = 45,330.84 × 8,037.63
  4. Step 4: Simplify right side
    30,223.94x = 364,352,519.51
  5. Step 5: Solve for x
    x = 364,352,519.51/30,223.94
  6. Step 6: Final answer
    x = 12,055.10

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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.