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Finding the Fourth Proportional to 34,255.32, 47,091 and 29,457.60

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Solution

The fourth proportional to 34,255.32, 47,091 and 29,457.60 is: 40,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255.32 : 47,091 = 29,457.60 : x
  2. Step 2: Convert to fraction form
    34,255.32/47,091 = 29,457.60/x
  3. Step 3: Cross multiply
    34,255.32x = 47,091 × 29,457.60
  4. Step 4: Simplify right side
    34,255.32x = 1,387,187,841.60
  5. Step 5: Solve for x
    x = 1,387,187,841.60/34,255.32
  6. Step 6: Final answer
    x = 40,495.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.