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Finding the Fourth Proportional to 47,403.60, 65,414.34 and 29,498.04

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Solution

The fourth proportional to 47,403.60, 65,414.34 and 29,498.04 is: 40,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,403.60 : 65,414.34 = 29,498.04 : x
  2. Step 2: Convert to fraction form
    47,403.60/65,414.34 = 29,498.04/x
  3. Step 3: Cross multiply
    47,403.60x = 65,414.34 × 29,498.04
  4. Step 4: Simplify right side
    47,403.60x = 1,929,594,817.89
  5. Step 5: Solve for x
    x = 1,929,594,817.89/47,403.60
  6. Step 6: Final answer
    x = 40,705.66

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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.