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Finding the Fourth Proportional to 30,181.79, 45,276.82 and 11,463.80

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Solution

The fourth proportional to 30,181.79, 45,276.82 and 11,463.80 is: 17,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.79 : 45,276.82 = 11,463.80 : x
  2. Step 2: Convert to fraction form
    30,181.79/45,276.82 = 11,463.80/x
  3. Step 3: Cross multiply
    30,181.79x = 45,276.82 × 11,463.80
  4. Step 4: Simplify right side
    30,181.79x = 519,044,154.07
  5. Step 5: Solve for x
    x = 519,044,154.07/30,181.79
  6. Step 6: Final answer
    x = 17,197.26

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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.