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Finding the Fourth Proportional to 51,770.61, 77,664.13 and 16,702.06

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Solution

The fourth proportional to 51,770.61, 77,664.13 and 16,702.06 is: 25,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,770.61 : 77,664.13 = 16,702.06 : x
  2. Step 2: Convert to fraction form
    51,770.61/77,664.13 = 16,702.06/x
  3. Step 3: Cross multiply
    51,770.61x = 77,664.13 × 16,702.06
  4. Step 4: Simplify right side
    51,770.61x = 1,297,151,142.83
  5. Step 5: Solve for x
    x = 1,297,151,142.83/51,770.61
  6. Step 6: Final answer
    x = 25,055.75

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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.