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Finding the Fourth Proportional to 51,415.88, 76,984.69 and 33,602.16

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Solution

The fourth proportional to 51,415.88, 76,984.69 and 33,602.16 is: 50,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.88 : 76,984.69 = 33,602.16 : x
  2. Step 2: Convert to fraction form
    51,415.88/76,984.69 = 33,602.16/x
  3. Step 3: Cross multiply
    51,415.88x = 76,984.69 × 33,602.16
  4. Step 4: Simplify right side
    51,415.88x = 2,586,851,870.93
  5. Step 5: Solve for x
    x = 2,586,851,870.93/51,415.88
  6. Step 6: Final answer
    x = 50,312.31

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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.