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Finding the Fourth Proportional to 35,122.06, 48,477 and 29,447.80

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Solution

The fourth proportional to 35,122.06, 48,477 and 29,447.80 is: 40,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122.06 : 48,477 = 29,447.80 : x
  2. Step 2: Convert to fraction form
    35,122.06/48,477 = 29,447.80/x
  3. Step 3: Cross multiply
    35,122.06x = 48,477 × 29,447.80
  4. Step 4: Simplify right side
    35,122.06x = 1,427,541,000.60
  5. Step 5: Solve for x
    x = 1,427,541,000.60/35,122.06
  6. Step 6: Final answer
    x = 40,645.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.