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Finding the Fourth Proportional to 32,966, 45,493.08 and 19,718

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Solution

The fourth proportional to 32,966, 45,493.08 and 19,718 is: 27,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 45,493.08 = 19,718 : x
  2. Step 2: Convert to fraction form
    32,966/45,493.08 = 19,718/x
  3. Step 3: Cross multiply
    32,966x = 45,493.08 × 19,718
  4. Step 4: Simplify right side
    32,966x = 897,032,551.44
  5. Step 5: Solve for x
    x = 897,032,551.44/32,966
  6. Step 6: Final answer
    x = 27,210.84

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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.