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Finding the Fourth Proportional to 30,549.94, 45,810.42 and 11,838.70

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Solution

The fourth proportional to 30,549.94, 45,810.42 and 11,838.70 is: 17,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.94 : 45,810.42 = 11,838.70 : x
  2. Step 2: Convert to fraction form
    30,549.94/45,810.42 = 11,838.70/x
  3. Step 3: Cross multiply
    30,549.94x = 45,810.42 × 11,838.70
  4. Step 4: Simplify right side
    30,549.94x = 542,335,819.25
  5. Step 5: Solve for x
    x = 542,335,819.25/30,549.94
  6. Step 6: Final answer
    x = 17,752.43

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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.