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Finding the Fourth Proportional to 35,205.84, 52,682.88 and 30,580.32

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Solution

The fourth proportional to 35,205.84, 52,682.88 and 30,580.32 is: 45,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.84 : 52,682.88 = 30,580.32 : x
  2. Step 2: Convert to fraction form
    35,205.84/52,682.88 = 30,580.32/x
  3. Step 3: Cross multiply
    35,205.84x = 52,682.88 × 30,580.32
  4. Step 4: Simplify right side
    35,205.84x = 1,611,059,328.92
  5. Step 5: Solve for x
    x = 1,611,059,328.92/35,205.84
  6. Step 6: Final answer
    x = 45,761.14

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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.