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Finding the Fourth Proportional to 37,283.49, 51,468 and 24,543.36

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Solution

The fourth proportional to 37,283.49, 51,468 and 24,543.36 is: 33,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,283.49 : 51,468 = 24,543.36 : x
  2. Step 2: Convert to fraction form
    37,283.49/51,468 = 24,543.36/x
  3. Step 3: Cross multiply
    37,283.49x = 51,468 × 24,543.36
  4. Step 4: Simplify right side
    37,283.49x = 1,263,197,652.48
  5. Step 5: Solve for x
    x = 1,263,197,652.48/37,283.49
  6. Step 6: Final answer
    x = 33,880.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.