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Finding the Fourth Proportional to 72,774.90, 100,425.15 and 40,942.44

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Solution

The fourth proportional to 72,774.90, 100,425.15 and 40,942.44 is: 56,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774.90 : 100,425.15 = 40,942.44 : x
  2. Step 2: Convert to fraction form
    72,774.90/100,425.15 = 40,942.44/x
  3. Step 3: Cross multiply
    72,774.90x = 100,425.15 × 40,942.44
  4. Step 4: Simplify right side
    72,774.90x = 4,111,650,678.37
  5. Step 5: Solve for x
    x = 4,111,650,678.37/72,774.90
  6. Step 6: Final answer
    x = 56,498.20

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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.