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Finding the Fourth Proportional to 30,189.90, 45,256.88 and 11,464.32

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Solution

The fourth proportional to 30,189.90, 45,256.88 and 11,464.32 is: 17,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.90 : 45,256.88 = 11,464.32 : x
  2. Step 2: Convert to fraction form
    30,189.90/45,256.88 = 11,464.32/x
  3. Step 3: Cross multiply
    30,189.90x = 45,256.88 × 11,464.32
  4. Step 4: Simplify right side
    30,189.90x = 518,839,354.52
  5. Step 5: Solve for x
    x = 518,839,354.52/30,189.90
  6. Step 6: Final answer
    x = 17,185.86

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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.