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Finding the Fourth Proportional to 32,802.60, 49,216.32 and 19,664.40

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Solution

The fourth proportional to 32,802.60, 49,216.32 and 19,664.40 is: 29,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.60 : 49,216.32 = 19,664.40 : x
  2. Step 2: Convert to fraction form
    32,802.60/49,216.32 = 19,664.40/x
  3. Step 3: Cross multiply
    32,802.60x = 49,216.32 × 19,664.40
  4. Step 4: Simplify right side
    32,802.60x = 967,809,403.01
  5. Step 5: Solve for x
    x = 967,809,403.01/32,802.60
  6. Step 6: Final answer
    x = 29,504.05

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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.