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Finding the Fourth Proportional to 32,210.66, 48,291.63 and 21,120.14

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Solution

The fourth proportional to 32,210.66, 48,291.63 and 21,120.14 is: 31,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.66 : 48,291.63 = 21,120.14 : x
  2. Step 2: Convert to fraction form
    32,210.66/48,291.63 = 21,120.14/x
  3. Step 3: Cross multiply
    32,210.66x = 48,291.63 × 21,120.14
  4. Step 4: Simplify right side
    32,210.66x = 1,019,925,986.43
  5. Step 5: Solve for x
    x = 1,019,925,986.43/32,210.66
  6. Step 6: Final answer
    x = 31,664.24

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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.