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Finding the Fourth Proportional to 33,281.40, 49,897.80 and 13,549.80

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Solution

The fourth proportional to 33,281.40, 49,897.80 and 13,549.80 is: 20,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,281.40 : 49,897.80 = 13,549.80 : x
  2. Step 2: Convert to fraction form
    33,281.40/49,897.80 = 13,549.80/x
  3. Step 3: Cross multiply
    33,281.40x = 49,897.80 × 13,549.80
  4. Step 4: Simplify right side
    33,281.40x = 676,105,210.44
  5. Step 5: Solve for x
    x = 676,105,210.44/33,281.40
  6. Step 6: Final answer
    x = 20,314.81

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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.