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Finding the Fourth Proportional to 47,294.46, 65,265.45 and 25,784.43

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Solution

The fourth proportional to 47,294.46, 65,265.45 and 25,784.43 is: 35,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.46 : 65,265.45 = 25,784.43 : x
  2. Step 2: Convert to fraction form
    47,294.46/65,265.45 = 25,784.43/x
  3. Step 3: Cross multiply
    47,294.46x = 65,265.45 × 25,784.43
  4. Step 4: Simplify right side
    47,294.46x = 1,682,832,426.94
  5. Step 5: Solve for x
    x = 1,682,832,426.94/47,294.46
  6. Step 6: Final answer
    x = 35,582.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.