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Finding the Fourth Proportional to 32,194.16, 48,277.87 and 12,461.34

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Solution

The fourth proportional to 32,194.16, 48,277.87 and 12,461.34 is: 18,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.16 : 48,277.87 = 12,461.34 : x
  2. Step 2: Convert to fraction form
    32,194.16/48,277.87 = 12,461.34/x
  3. Step 3: Cross multiply
    32,194.16x = 48,277.87 × 12,461.34
  4. Step 4: Simplify right side
    32,194.16x = 601,607,172.53
  5. Step 5: Solve for x
    x = 601,607,172.53/32,194.16
  6. Step 6: Final answer
    x = 18,686.84

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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.