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Finding the Fourth Proportional to 33,314, 45,973.44 and 18,410

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Solution

The fourth proportional to 33,314, 45,973.44 and 18,410 is: 25,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,314 : 45,973.44 = 18,410 : x
  2. Step 2: Convert to fraction form
    33,314/45,973.44 = 18,410/x
  3. Step 3: Cross multiply
    33,314x = 45,973.44 × 18,410
  4. Step 4: Simplify right side
    33,314x = 846,371,030.40
  5. Step 5: Solve for x
    x = 846,371,030.40/33,314
  6. Step 6: Final answer
    x = 25,405.87

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Why These Related Problems?

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