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Finding the Fourth Proportional to 30,522.52, 45,795.84 and 9,464.23

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Solution

The fourth proportional to 30,522.52, 45,795.84 and 9,464.23 is: 14,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.52 : 45,795.84 = 9,464.23 : x
  2. Step 2: Convert to fraction form
    30,522.52/45,795.84 = 9,464.23/x
  3. Step 3: Cross multiply
    30,522.52x = 45,795.84 × 9,464.23
  4. Step 4: Simplify right side
    30,522.52x = 433,422,362.80
  5. Step 5: Solve for x
    x = 433,422,362.80/30,522.52
  6. Step 6: Final answer
    x = 14,200.08

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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.