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Finding the Fourth Proportional to 77,408.96, 106,817.76 and 52,292.48

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Solution

The fourth proportional to 77,408.96, 106,817.76 and 52,292.48 is: 72,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.96 : 106,817.76 = 52,292.48 : x
  2. Step 2: Convert to fraction form
    77,408.96/106,817.76 = 52,292.48/x
  3. Step 3: Cross multiply
    77,408.96x = 106,817.76 × 52,292.48
  4. Step 4: Simplify right side
    77,408.96x = 5,585,765,578.44
  5. Step 5: Solve for x
    x = 5,585,765,578.44/77,408.96
  6. Step 6: Final answer
    x = 72,159.16

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1.5x scale

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.