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Finding the Fourth Proportional to 30,297.63, 45,445.59 and 8,111.01

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Solution

The fourth proportional to 30,297.63, 45,445.59 and 8,111.01 is: 12,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.63 : 45,445.59 = 8,111.01 : x
  2. Step 2: Convert to fraction form
    30,297.63/45,445.59 = 8,111.01/x
  3. Step 3: Cross multiply
    30,297.63x = 45,445.59 × 8,111.01
  4. Step 4: Simplify right side
    30,297.63x = 368,609,634.95
  5. Step 5: Solve for x
    x = 368,609,634.95/30,297.63
  6. Step 6: Final answer
    x = 12,166.29

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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.