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Finding the Fourth Proportional to 30,532.32, 42,133.84 and 17,103.48

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Solution

The fourth proportional to 30,532.32, 42,133.84 and 17,103.48 is: 23,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.32 : 42,133.84 = 17,103.48 : x
  2. Step 2: Convert to fraction form
    30,532.32/42,133.84 = 17,103.48/x
  3. Step 3: Cross multiply
    30,532.32x = 42,133.84 × 17,103.48
  4. Step 4: Simplify right side
    30,532.32x = 720,635,204.25
  5. Step 5: Solve for x
    x = 720,635,204.25/30,532.32
  6. Step 6: Final answer
    x = 23,602.38

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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.