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Finding the Fourth Proportional to 30,549.40, 45,824.13 and 8,362.96

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Solution

The fourth proportional to 30,549.40, 45,824.13 and 8,362.96 is: 12,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.40 : 45,824.13 = 8,362.96 : x
  2. Step 2: Convert to fraction form
    30,549.40/45,824.13 = 8,362.96/x
  3. Step 3: Cross multiply
    30,549.40x = 45,824.13 × 8,362.96
  4. Step 4: Simplify right side
    30,549.40x = 383,225,509.43
  5. Step 5: Solve for x
    x = 383,225,509.43/30,549.40
  6. Step 6: Final answer
    x = 12,544.45

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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.