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Finding the Fourth Proportional to 51,798.98, 77,678.93 and 16,729.22

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Solution

The fourth proportional to 51,798.98, 77,678.93 and 16,729.22 is: 25,087.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.98 : 77,678.93 = 16,729.22 : x
  2. Step 2: Convert to fraction form
    51,798.98/77,678.93 = 16,729.22/x
  3. Step 3: Cross multiply
    51,798.98x = 77,678.93 × 16,729.22
  4. Step 4: Simplify right side
    51,798.98x = 1,299,507,562.76
  5. Step 5: Solve for x
    x = 1,299,507,562.76/51,798.98
  6. Step 6: Final answer
    x = 25,087.52

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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.