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Finding the Fourth Proportional to 30,812.60, 42,523.38 and 17,378.96

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Solution

The fourth proportional to 30,812.60, 42,523.38 and 17,378.96 is: 23,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.60 : 42,523.38 = 17,378.96 : x
  2. Step 2: Convert to fraction form
    30,812.60/42,523.38 = 17,378.96/x
  3. Step 3: Cross multiply
    30,812.60x = 42,523.38 × 17,378.96
  4. Step 4: Simplify right side
    30,812.60x = 739,011,907.47
  5. Step 5: Solve for x
    x = 739,011,907.47/30,812.60
  6. Step 6: Final answer
    x = 23,984.08

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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.