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Finding the Fourth Proportional to 30,596.53, 45,894.12 and 12,580.96

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Solution

The fourth proportional to 30,596.53, 45,894.12 and 12,580.96 is: 18,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.53 : 45,894.12 = 12,580.96 : x
  2. Step 2: Convert to fraction form
    30,596.53/45,894.12 = 12,580.96/x
  3. Step 3: Cross multiply
    30,596.53x = 45,894.12 × 12,580.96
  4. Step 4: Simplify right side
    30,596.53x = 577,392,087.96
  5. Step 5: Solve for x
    x = 577,392,087.96/30,596.53
  6. Step 6: Final answer
    x = 18,871.16

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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.