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Finding the Fourth Proportional to 30,812.80, 42,520.32 and 17,384.32

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Solution

The fourth proportional to 30,812.80, 42,520.32 and 17,384.32 is: 23,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.80 : 42,520.32 = 17,384.32 : x
  2. Step 2: Convert to fraction form
    30,812.80/42,520.32 = 17,384.32/x
  3. Step 3: Cross multiply
    30,812.80x = 42,520.32 × 17,384.32
  4. Step 4: Simplify right side
    30,812.80x = 739,186,849.38
  5. Step 5: Solve for x
    x = 739,186,849.38/30,812.80
  6. Step 6: Final answer
    x = 23,989.60

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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.