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Finding the Fourth Proportional to 30,596.64, 45,892.08 and 11,885.60

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Solution

The fourth proportional to 30,596.64, 45,892.08 and 11,885.60 is: 17,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.64 : 45,892.08 = 11,885.60 : x
  2. Step 2: Convert to fraction form
    30,596.64/45,892.08 = 11,885.60/x
  3. Step 3: Cross multiply
    30,596.64x = 45,892.08 × 11,885.60
  4. Step 4: Simplify right side
    30,596.64x = 545,454,906.05
  5. Step 5: Solve for x
    x = 545,454,906.05/30,596.64
  6. Step 6: Final answer
    x = 17,827.28

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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.