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Finding the Fourth Proportional to 30,115.20, 45,164.16 and 11,642.88

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Solution

The fourth proportional to 30,115.20, 45,164.16 and 11,642.88 is: 17,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.20 : 45,164.16 = 11,642.88 : x
  2. Step 2: Convert to fraction form
    30,115.20/45,164.16 = 11,642.88/x
  3. Step 3: Cross multiply
    30,115.20x = 45,164.16 × 11,642.88
  4. Step 4: Simplify right side
    30,115.20x = 525,840,895.18
  5. Step 5: Solve for x
    x = 525,840,895.18/30,115.20
  6. Step 6: Final answer
    x = 17,460.98

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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.