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Finding the Fourth Proportional to 52,408.40, 78,497.40 and 51,256.40

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Solution

The fourth proportional to 52,408.40, 78,497.40 and 51,256.40 is: 76,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.40 : 78,497.40 = 51,256.40 : x
  2. Step 2: Convert to fraction form
    52,408.40/78,497.40 = 51,256.40/x
  3. Step 3: Cross multiply
    52,408.40x = 78,497.40 × 51,256.40
  4. Step 4: Simplify right side
    52,408.40x = 4,023,494,133.36
  5. Step 5: Solve for x
    x = 4,023,494,133.36/52,408.40
  6. Step 6: Final answer
    x = 76,771.93

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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.