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Finding the Fourth Proportional to 27,833.42, 41,750.22 and 7,056.92

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Solution

The fourth proportional to 27,833.42, 41,750.22 and 7,056.92 is: 10,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.42 : 41,750.22 = 7,056.92 : x
  2. Step 2: Convert to fraction form
    27,833.42/41,750.22 = 7,056.92/x
  3. Step 3: Cross multiply
    27,833.42x = 41,750.22 × 7,056.92
  4. Step 4: Simplify right side
    27,833.42x = 294,627,962.52
  5. Step 5: Solve for x
    x = 294,627,962.52/27,833.42
  6. Step 6: Final answer
    x = 10,585.40

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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.