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Finding the Fourth Proportional to 32,378.86, 48,548.16 and 13,649.26

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Solution

The fourth proportional to 32,378.86, 48,548.16 and 13,649.26 is: 20,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.86 : 48,548.16 = 13,649.26 : x
  2. Step 2: Convert to fraction form
    32,378.86/48,548.16 = 13,649.26/x
  3. Step 3: Cross multiply
    32,378.86x = 48,548.16 × 13,649.26
  4. Step 4: Simplify right side
    32,378.86x = 662,646,458.36
  5. Step 5: Solve for x
    x = 662,646,458.36/32,378.86
  6. Step 6: Final answer
    x = 20,465.40

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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.