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Finding the Fourth Proportional to 53,102.16, 73,276.84 and 30,440.88

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Solution

The fourth proportional to 53,102.16, 73,276.84 and 30,440.88 is: 42,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.16 : 73,276.84 = 30,440.88 : x
  2. Step 2: Convert to fraction form
    53,102.16/73,276.84 = 30,440.88/x
  3. Step 3: Cross multiply
    53,102.16x = 73,276.84 × 30,440.88
  4. Step 4: Simplify right side
    53,102.16x = 2,230,611,493.22
  5. Step 5: Solve for x
    x = 2,230,611,493.22/53,102.16
  6. Step 6: Final answer
    x = 42,006.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.