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Finding the Fourth Proportional to 44,188.10, 66,285.84 and 19,229

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Solution

The fourth proportional to 44,188.10, 66,285.84 and 19,229 is: 28,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,188.10 : 66,285.84 = 19,229 : x
  2. Step 2: Convert to fraction form
    44,188.10/66,285.84 = 19,229/x
  3. Step 3: Cross multiply
    44,188.10x = 66,285.84 × 19,229
  4. Step 4: Simplify right side
    44,188.10x = 1,274,610,417.36
  5. Step 5: Solve for x
    x = 1,274,610,417.36/44,188.10
  6. Step 6: Final answer
    x = 28,845.11

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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.