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Finding the Fourth Proportional to 47,613.58, 65,714.02 and 30,393.38

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Solution

The fourth proportional to 47,613.58, 65,714.02 and 30,393.38 is: 41,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,613.58 : 65,714.02 = 30,393.38 : x
  2. Step 2: Convert to fraction form
    47,613.58/65,714.02 = 30,393.38/x
  3. Step 3: Cross multiply
    47,613.58x = 65,714.02 × 30,393.38
  4. Step 4: Simplify right side
    47,613.58x = 1,997,271,269.49
  5. Step 5: Solve for x
    x = 1,997,271,269.49/47,613.58
  6. Step 6: Final answer
    x = 41,947.52

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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.