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Finding the Fourth Proportional to 99,036.64, 148,524.60 and 35,849.20

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Solution

The fourth proportional to 99,036.64, 148,524.60 and 35,849.20 is: 53,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036.64 : 148,524.60 = 35,849.20 : x
  2. Step 2: Convert to fraction form
    99,036.64/148,524.60 = 35,849.20/x
  3. Step 3: Cross multiply
    99,036.64x = 148,524.60 × 35,849.20
  4. Step 4: Simplify right side
    99,036.64x = 5,324,488,090.32
  5. Step 5: Solve for x
    x = 5,324,488,090.32/99,036.64
  6. Step 6: Final answer
    x = 53,762.81

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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.