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Finding the Fourth Proportional to 32,231.60, 48,347.40 and 19,077.20

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Solution

The fourth proportional to 32,231.60, 48,347.40 and 19,077.20 is: 28,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.60 : 48,347.40 = 19,077.20 : x
  2. Step 2: Convert to fraction form
    32,231.60/48,347.40 = 19,077.20/x
  3. Step 3: Cross multiply
    32,231.60x = 48,347.40 × 19,077.20
  4. Step 4: Simplify right side
    32,231.60x = 922,333,019.28
  5. Step 5: Solve for x
    x = 922,333,019.28/32,231.60
  6. Step 6: Final answer
    x = 28,615.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.