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Finding the Fourth Proportional to 30,522.42, 45,784.44 and 9,745.92

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Solution

The fourth proportional to 30,522.42, 45,784.44 and 9,745.92 is: 14,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.42 : 45,784.44 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    30,522.42/45,784.44 = 9,745.92/x
  3. Step 3: Cross multiply
    30,522.42x = 45,784.44 × 9,745.92
  4. Step 4: Simplify right side
    30,522.42x = 446,211,489.48
  5. Step 5: Solve for x
    x = 446,211,489.48/30,522.42
  6. Step 6: Final answer
    x = 14,619.14

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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.