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Finding the Fourth Proportional to 29,057.60, 43,586.40 and 8,278.40

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Solution

The fourth proportional to 29,057.60, 43,586.40 and 8,278.40 is: 12,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057.60 : 43,586.40 = 8,278.40 : x
  2. Step 2: Convert to fraction form
    29,057.60/43,586.40 = 8,278.40/x
  3. Step 3: Cross multiply
    29,057.60x = 43,586.40 × 8,278.40
  4. Step 4: Simplify right side
    29,057.60x = 360,825,653.76
  5. Step 5: Solve for x
    x = 360,825,653.76/29,057.60
  6. Step 6: Final answer
    x = 12,417.60

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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.