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Finding the Fourth Proportional to 47,461.33, 65,485.75 and 28,337.38

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Solution

The fourth proportional to 47,461.33, 65,485.75 and 28,337.38 is: 39,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,461.33 : 65,485.75 = 28,337.38 : x
  2. Step 2: Convert to fraction form
    47,461.33/65,485.75 = 28,337.38/x
  3. Step 3: Cross multiply
    47,461.33x = 65,485.75 × 28,337.38
  4. Step 4: Simplify right side
    47,461.33x = 1,855,694,582.34
  5. Step 5: Solve for x
    x = 1,855,694,582.34/47,461.33
  6. Step 6: Final answer
    x = 39,099.09

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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.