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Finding the Fourth Proportional to 86,938.60, 130,408.86 and 27,773.80

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Solution

The fourth proportional to 86,938.60, 130,408.86 and 27,773.80 is: 41,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938.60 : 130,408.86 = 27,773.80 : x
  2. Step 2: Convert to fraction form
    86,938.60/130,408.86 = 27,773.80/x
  3. Step 3: Cross multiply
    86,938.60x = 130,408.86 × 27,773.80
  4. Step 4: Simplify right side
    86,938.60x = 3,621,949,595.87
  5. Step 5: Solve for x
    x = 3,621,949,595.87/86,938.60
  6. Step 6: Final answer
    x = 41,661.01

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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.