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Finding the Fourth Proportional to 30,780.56, 46,174.08 and 15,183.20

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Solution

The fourth proportional to 30,780.56, 46,174.08 and 15,183.20 is: 22,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.56 : 46,174.08 = 15,183.20 : x
  2. Step 2: Convert to fraction form
    30,780.56/46,174.08 = 15,183.20/x
  3. Step 3: Cross multiply
    30,780.56x = 46,174.08 × 15,183.20
  4. Step 4: Simplify right side
    30,780.56x = 701,070,291.46
  5. Step 5: Solve for x
    x = 701,070,291.46/30,780.56
  6. Step 6: Final answer
    x = 22,776.40

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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.