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Finding the Fourth Proportional to 30,597.53, 45,895.62 and 12,581.96

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Solution

The fourth proportional to 30,597.53, 45,895.62 and 12,581.96 is: 18,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.53 : 45,895.62 = 12,581.96 : x
  2. Step 2: Convert to fraction form
    30,597.53/45,895.62 = 12,581.96/x
  3. Step 3: Cross multiply
    30,597.53x = 45,895.62 × 12,581.96
  4. Step 4: Simplify right side
    30,597.53x = 577,456,855.02
  5. Step 5: Solve for x
    x = 577,456,855.02/30,597.53
  6. Step 6: Final answer
    x = 18,872.66

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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.