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Finding the Fourth Proportional to 85,697.30, 128,582.40 and 41,301.20

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Solution

The fourth proportional to 85,697.30, 128,582.40 and 41,301.20 is: 61,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,697.30 : 128,582.40 = 41,301.20 : x
  2. Step 2: Convert to fraction form
    85,697.30/128,582.40 = 41,301.20/x
  3. Step 3: Cross multiply
    85,697.30x = 128,582.40 × 41,301.20
  4. Step 4: Simplify right side
    85,697.30x = 5,310,607,418.88
  5. Step 5: Solve for x
    x = 5,310,607,418.88/85,697.30
  6. Step 6: Final answer
    x = 61,969.37

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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.