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Finding the Fourth Proportional to 47,423.82, 65,475.38 and 30,435.38

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Solution

The fourth proportional to 47,423.82, 65,475.38 and 30,435.38 is: 42,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,423.82 : 65,475.38 = 30,435.38 : x
  2. Step 2: Convert to fraction form
    47,423.82/65,475.38 = 30,435.38/x
  3. Step 3: Cross multiply
    47,423.82x = 65,475.38 × 30,435.38
  4. Step 4: Simplify right side
    47,423.82x = 1,992,768,070.94
  5. Step 5: Solve for x
    x = 1,992,768,070.94/47,423.82
  6. Step 6: Final answer
    x = 42,020.40

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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.