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Finding the Fourth Proportional to 71,347, 98,458.88 and 41,539

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Solution

The fourth proportional to 71,347, 98,458.88 and 41,539 is: 57,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,347 : 98,458.88 = 41,539 : x
  2. Step 2: Convert to fraction form
    71,347/98,458.88 = 41,539/x
  3. Step 3: Cross multiply
    71,347x = 98,458.88 × 41,539
  4. Step 4: Simplify right side
    71,347x = 4,089,883,416.32
  5. Step 5: Solve for x
    x = 4,089,883,416.32/71,347
  6. Step 6: Final answer
    x = 57,323.83

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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.