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Finding the Fourth Proportional to 33,143.20, 49,681.20 and 16,477.60

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Solution

The fourth proportional to 33,143.20, 49,681.20 and 16,477.60 is: 24,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.20 : 49,681.20 = 16,477.60 : x
  2. Step 2: Convert to fraction form
    33,143.20/49,681.20 = 16,477.60/x
  3. Step 3: Cross multiply
    33,143.20x = 49,681.20 × 16,477.60
  4. Step 4: Simplify right side
    33,143.20x = 818,626,941.12
  5. Step 5: Solve for x
    x = 818,626,941.12/33,143.20
  6. Step 6: Final answer
    x = 24,699.70

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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.