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Finding the Fourth Proportional to 30,549.12, 45,830.84 and 9,488.09

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Solution

The fourth proportional to 30,549.12, 45,830.84 and 9,488.09 is: 14,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.12 : 45,830.84 = 9,488.09 : x
  2. Step 2: Convert to fraction form
    30,549.12/45,830.84 = 9,488.09/x
  3. Step 3: Cross multiply
    30,549.12x = 45,830.84 × 9,488.09
  4. Step 4: Simplify right side
    30,549.12x = 434,846,858.10
  5. Step 5: Solve for x
    x = 434,846,858.10/30,549.12
  6. Step 6: Final answer
    x = 14,234.35

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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.