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Finding the Fourth Proportional to 30,653.99, 45,956.18 and 9,583.19

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Solution

The fourth proportional to 30,653.99, 45,956.18 and 9,583.19 is: 14,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.99 : 45,956.18 = 9,583.19 : x
  2. Step 2: Convert to fraction form
    30,653.99/45,956.18 = 9,583.19/x
  3. Step 3: Cross multiply
    30,653.99x = 45,956.18 × 9,583.19
  4. Step 4: Simplify right side
    30,653.99x = 440,406,526.92
  5. Step 5: Solve for x
    x = 440,406,526.92/30,653.99
  6. Step 6: Final answer
    x = 14,367.02

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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.