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Finding the Fourth Proportional to 42,777.12, 64,021.12 and 30,544.48

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Solution

The fourth proportional to 42,777.12, 64,021.12 and 30,544.48 is: 45,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777.12 : 64,021.12 = 30,544.48 : x
  2. Step 2: Convert to fraction form
    42,777.12/64,021.12 = 30,544.48/x
  3. Step 3: Cross multiply
    42,777.12x = 64,021.12 × 30,544.48
  4. Step 4: Simplify right side
    42,777.12x = 1,955,491,819.42
  5. Step 5: Solve for x
    x = 1,955,491,819.42/42,777.12
  6. Step 6: Final answer
    x = 45,713.50

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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.