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Finding the Fourth Proportional to 30,182.06, 45,266.06 and 11,464.04

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Solution

The fourth proportional to 30,182.06, 45,266.06 and 11,464.04 is: 17,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.06 : 45,266.06 = 11,464.04 : x
  2. Step 2: Convert to fraction form
    30,182.06/45,266.06 = 11,464.04/x
  3. Step 3: Cross multiply
    30,182.06x = 45,266.06 × 11,464.04
  4. Step 4: Simplify right side
    30,182.06x = 518,931,922.48
  5. Step 5: Solve for x
    x = 518,931,922.48/30,182.06
  6. Step 6: Final answer
    x = 17,193.39

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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.