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Finding the Fourth Proportional to 69,349, 95,714.60 and 39,541

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Solution

The fourth proportional to 69,349, 95,714.60 and 39,541 is: 54,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,349 : 95,714.60 = 39,541 : x
  2. Step 2: Convert to fraction form
    69,349/95,714.60 = 39,541/x
  3. Step 3: Cross multiply
    69,349x = 95,714.60 × 39,541
  4. Step 4: Simplify right side
    69,349x = 3,784,650,998.60
  5. Step 5: Solve for x
    x = 3,784,650,998.60/69,349
  6. Step 6: Final answer
    x = 54,573.98

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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.