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Finding the Fourth Proportional to 56,764.70, 77,768.00 and 54,636.42

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Solution

The fourth proportional to 56,764.70, 77,768.00 and 54,636.42 is: 74,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,764.70 : 77,768.00 = 54,636.42 : x
  2. Step 2: Convert to fraction form
    56,764.70/77,768.00 = 54,636.42/x
  3. Step 3: Cross multiply
    56,764.70x = 77,768.00 × 54,636.42
  4. Step 4: Simplify right side
    56,764.70x = 4,248,965,333.89
  5. Step 5: Solve for x
    x = 4,248,965,333.89/56,764.70
  6. Step 6: Final answer
    x = 74,852.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.