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Finding the Fourth Proportional to 51,461.76, 77,192.52 and 33,803.88

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Solution

The fourth proportional to 51,461.76, 77,192.52 and 33,803.88 is: 50,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,461.76 : 77,192.52 = 33,803.88 : x
  2. Step 2: Convert to fraction form
    51,461.76/77,192.52 = 33,803.88/x
  3. Step 3: Cross multiply
    51,461.76x = 77,192.52 × 33,803.88
  4. Step 4: Simplify right side
    51,461.76x = 2,609,406,682.98
  5. Step 5: Solve for x
    x = 2,609,406,682.98/51,461.76
  6. Step 6: Final answer
    x = 50,705.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.