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Finding the Fourth Proportional to 32,419.20, 48,374.32 and 29,105.88

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Solution

The fourth proportional to 32,419.20, 48,374.32 and 29,105.88 is: 43,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.20 : 48,374.32 = 29,105.88 : x
  2. Step 2: Convert to fraction form
    32,419.20/48,374.32 = 29,105.88/x
  3. Step 3: Cross multiply
    32,419.20x = 48,374.32 × 29,105.88
  4. Step 4: Simplify right side
    32,419.20x = 1,407,977,153.00
  5. Step 5: Solve for x
    x = 1,407,977,153.00/32,419.20
  6. Step 6: Final answer
    x = 43,430.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.