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Finding the Fourth Proportional to 30,037.20, 45,056.40 and 7,849.20

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Solution

The fourth proportional to 30,037.20, 45,056.40 and 7,849.20 is: 11,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,037.20 : 45,056.40 = 7,849.20 : x
  2. Step 2: Convert to fraction form
    30,037.20/45,056.40 = 7,849.20/x
  3. Step 3: Cross multiply
    30,037.20x = 45,056.40 × 7,849.20
  4. Step 4: Simplify right side
    30,037.20x = 353,656,694.88
  5. Step 5: Solve for x
    x = 353,656,694.88/30,037.20
  6. Step 6: Final answer
    x = 11,773.96

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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.