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Finding the Fourth Proportional to 28,181.52, 42,271.74 and 7,405.02

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Solution

The fourth proportional to 28,181.52, 42,271.74 and 7,405.02 is: 11,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,181.52 : 42,271.74 = 7,405.02 : x
  2. Step 2: Convert to fraction form
    28,181.52/42,271.74 = 7,405.02/x
  3. Step 3: Cross multiply
    28,181.52x = 42,271.74 × 7,405.02
  4. Step 4: Simplify right side
    28,181.52x = 313,023,080.13
  5. Step 5: Solve for x
    x = 313,023,080.13/28,181.52
  6. Step 6: Final answer
    x = 11,107.39

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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.