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Finding the Fourth Proportional to 30,043.37, 45,065.22 and 7,856.80

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Solution

The fourth proportional to 30,043.37, 45,065.22 and 7,856.80 is: 11,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.37 : 45,065.22 = 7,856.80 : x
  2. Step 2: Convert to fraction form
    30,043.37/45,065.22 = 7,856.80/x
  3. Step 3: Cross multiply
    30,043.37x = 45,065.22 × 7,856.80
  4. Step 4: Simplify right side
    30,043.37x = 354,068,278.37
  5. Step 5: Solve for x
    x = 354,068,278.37/30,043.37
  6. Step 6: Final answer
    x = 11,785.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.