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Finding the Fourth Proportional to 32,419.20, 48,628.80 and 9,045.60

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Solution

The fourth proportional to 32,419.20, 48,628.80 and 9,045.60 is: 13,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.20 : 48,628.80 = 9,045.60 : x
  2. Step 2: Convert to fraction form
    32,419.20/48,628.80 = 9,045.60/x
  3. Step 3: Cross multiply
    32,419.20x = 48,628.80 × 9,045.60
  4. Step 4: Simplify right side
    32,419.20x = 439,876,673.28
  5. Step 5: Solve for x
    x = 439,876,673.28/32,419.20
  6. Step 6: Final answer
    x = 13,568.40

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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.