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Finding the Fourth Proportional to 30,527.57, 42,127.56 and 17,098.78

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Solution

The fourth proportional to 30,527.57, 42,127.56 and 17,098.78 is: 23,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.57 : 42,127.56 = 17,098.78 : x
  2. Step 2: Convert to fraction form
    30,527.57/42,127.56 = 17,098.78/x
  3. Step 3: Cross multiply
    30,527.57x = 42,127.56 × 17,098.78
  4. Step 4: Simplify right side
    30,527.57x = 720,329,880.38
  5. Step 5: Solve for x
    x = 720,329,880.38/30,527.57
  6. Step 6: Final answer
    x = 23,596.04

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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.