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Finding the Fourth Proportional to 32,210.84, 48,261.18 and 25,188.14

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Solution

The fourth proportional to 32,210.84, 48,261.18 and 25,188.14 is: 37,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.84 : 48,261.18 = 25,188.14 : x
  2. Step 2: Convert to fraction form
    32,210.84/48,261.18 = 25,188.14/x
  3. Step 3: Cross multiply
    32,210.84x = 48,261.18 × 25,188.14
  4. Step 4: Simplify right side
    32,210.84x = 1,215,609,358.41
  5. Step 5: Solve for x
    x = 1,215,609,358.41/32,210.84
  6. Step 6: Final answer
    x = 37,739.14

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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.