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Finding the Fourth Proportional to 32,573.80, 48,866.10 and 13,862.80

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Solution

The fourth proportional to 32,573.80, 48,866.10 and 13,862.80 is: 20,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,573.80 : 48,866.10 = 13,862.80 : x
  2. Step 2: Convert to fraction form
    32,573.80/48,866.10 = 13,862.80/x
  3. Step 3: Cross multiply
    32,573.80x = 48,866.10 × 13,862.80
  4. Step 4: Simplify right side
    32,573.80x = 677,420,971.08
  5. Step 5: Solve for x
    x = 677,420,971.08/32,573.80
  6. Step 6: Final answer
    x = 20,796.50

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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.