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Finding the Fourth Proportional to 27,300.42, 40,943.01 and 7,574.28

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Solution

The fourth proportional to 27,300.42, 40,943.01 and 7,574.28 is: 11,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.42 : 40,943.01 = 7,574.28 : x
  2. Step 2: Convert to fraction form
    27,300.42/40,943.01 = 7,574.28/x
  3. Step 3: Cross multiply
    27,300.42x = 40,943.01 × 7,574.28
  4. Step 4: Simplify right side
    27,300.42x = 310,113,821.78
  5. Step 5: Solve for x
    x = 310,113,821.78/27,300.42
  6. Step 6: Final answer
    x = 11,359.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.