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Finding the Fourth Proportional to 30,549.57, 45,838.13 and 19,453.38

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Solution

The fourth proportional to 30,549.57, 45,838.13 and 19,453.38 is: 29,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.57 : 45,838.13 = 19,453.38 : x
  2. Step 2: Convert to fraction form
    30,549.57/45,838.13 = 19,453.38/x
  3. Step 3: Cross multiply
    30,549.57x = 45,838.13 × 19,453.38
  4. Step 4: Simplify right side
    30,549.57x = 891,706,464.11
  5. Step 5: Solve for x
    x = 891,706,464.11/30,549.57
  6. Step 6: Final answer
    x = 29,188.84

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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.