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Finding the Fourth Proportional to 32,175.80, 48,225.30 and 13,455.80

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Solution

The fourth proportional to 32,175.80, 48,225.30 and 13,455.80 is: 20,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.80 : 48,225.30 = 13,455.80 : x
  2. Step 2: Convert to fraction form
    32,175.80/48,225.30 = 13,455.80/x
  3. Step 3: Cross multiply
    32,175.80x = 48,225.30 × 13,455.80
  4. Step 4: Simplify right side
    32,175.80x = 648,909,991.74
  5. Step 5: Solve for x
    x = 648,909,991.74/32,175.80
  6. Step 6: Final answer
    x = 20,167.64

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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.