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Finding the Fourth Proportional to 30,172.50, 41,646.12 and 18,835.16

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Solution

The fourth proportional to 30,172.50, 41,646.12 and 18,835.16 is: 25,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 41,646.12 = 18,835.16 : x
  2. Step 2: Convert to fraction form
    30,172.50/41,646.12 = 18,835.16/x
  3. Step 3: Cross multiply
    30,172.50x = 41,646.12 × 18,835.16
  4. Step 4: Simplify right side
    30,172.50x = 784,411,333.58
  5. Step 5: Solve for x
    x = 784,411,333.58/30,172.50
  6. Step 6: Final answer
    x = 25,997.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.