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Finding the Fourth Proportional to 138,549.66, 207,824.54 and 33,368.63

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Solution

The fourth proportional to 138,549.66, 207,824.54 and 33,368.63 is: 50,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,549.66 : 207,824.54 = 33,368.63 : x
  2. Step 2: Convert to fraction form
    138,549.66/207,824.54 = 33,368.63/x
  3. Step 3: Cross multiply
    138,549.66x = 207,824.54 × 33,368.63
  4. Step 4: Simplify right side
    138,549.66x = 6,934,818,974.21
  5. Step 5: Solve for x
    x = 6,934,818,974.21/138,549.66
  6. Step 6: Final answer
    x = 50,052.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.