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Finding the Fourth Proportional to 52,648.44, 72,631.54 and 31,415.44

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Solution

The fourth proportional to 52,648.44, 72,631.54 and 31,415.44 is: 43,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.44 : 72,631.54 = 31,415.44 : x
  2. Step 2: Convert to fraction form
    52,648.44/72,631.54 = 31,415.44/x
  3. Step 3: Cross multiply
    52,648.44x = 72,631.54 × 31,415.44
  4. Step 4: Simplify right side
    52,648.44x = 2,281,751,786.98
  5. Step 5: Solve for x
    x = 2,281,751,786.98/52,648.44
  6. Step 6: Final answer
    x = 43,339.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.