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Finding the Fourth Proportional to 32,415.36, 48,602.88 and 13,685.76

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Solution

The fourth proportional to 32,415.36, 48,602.88 and 13,685.76 is: 20,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.36 : 48,602.88 = 13,685.76 : x
  2. Step 2: Convert to fraction form
    32,415.36/48,602.88 = 13,685.76/x
  3. Step 3: Cross multiply
    32,415.36x = 48,602.88 × 13,685.76
  4. Step 4: Simplify right side
    32,415.36x = 665,167,350.99
  5. Step 5: Solve for x
    x = 665,167,350.99/32,415.36
  6. Step 6: Final answer
    x = 20,520.13

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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.