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Finding the Fourth Proportional to 30,825.87, 42,538.95 and 17,397.69

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Solution

The fourth proportional to 30,825.87, 42,538.95 and 17,397.69 is: 24,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.87 : 42,538.95 = 17,397.69 : x
  2. Step 2: Convert to fraction form
    30,825.87/42,538.95 = 17,397.69/x
  3. Step 3: Cross multiply
    30,825.87x = 42,538.95 × 17,397.69
  4. Step 4: Simplify right side
    30,825.87x = 740,079,465.03
  5. Step 5: Solve for x
    x = 740,079,465.03/30,825.87
  6. Step 6: Final answer
    x = 24,008.39

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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.