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Finding the Fourth Proportional to 32,969.28, 45,498.42 and 19,538.34

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Solution

The fourth proportional to 32,969.28, 45,498.42 and 19,538.34 is: 26,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.28 : 45,498.42 = 19,538.34 : x
  2. Step 2: Convert to fraction form
    32,969.28/45,498.42 = 19,538.34/x
  3. Step 3: Cross multiply
    32,969.28x = 45,498.42 × 19,538.34
  4. Step 4: Simplify right side
    32,969.28x = 888,963,599.42
  5. Step 5: Solve for x
    x = 888,963,599.42/32,969.28
  6. Step 6: Final answer
    x = 26,963.39

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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.