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Finding the Fourth Proportional to 30,015.61, 45,024.22 and 7,828.49

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Solution

The fourth proportional to 30,015.61, 45,024.22 and 7,828.49 is: 11,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015.61 : 45,024.22 = 7,828.49 : x
  2. Step 2: Convert to fraction form
    30,015.61/45,024.22 = 7,828.49/x
  3. Step 3: Cross multiply
    30,015.61x = 45,024.22 × 7,828.49
  4. Step 4: Simplify right side
    30,015.61x = 352,471,749.02
  5. Step 5: Solve for x
    x = 352,471,749.02/30,015.61
  6. Step 6: Final answer
    x = 11,742.95

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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.