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Finding the Fourth Proportional to 30,558.08, 45,843.84 and 9,783.68

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Solution

The fourth proportional to 30,558.08, 45,843.84 and 9,783.68 is: 14,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,558.08 : 45,843.84 = 9,783.68 : x
  2. Step 2: Convert to fraction form
    30,558.08/45,843.84 = 9,783.68/x
  3. Step 3: Cross multiply
    30,558.08x = 45,843.84 × 9,783.68
  4. Step 4: Simplify right side
    30,558.08x = 448,521,460.53
  5. Step 5: Solve for x
    x = 448,521,460.53/30,558.08
  6. Step 6: Final answer
    x = 14,677.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.