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Finding the Fourth Proportional to 27,300.40, 40,946.52 and 7,576.88

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Solution

The fourth proportional to 27,300.40, 40,946.52 and 7,576.88 is: 11,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.40 : 40,946.52 = 7,576.88 : x
  2. Step 2: Convert to fraction form
    27,300.40/40,946.52 = 7,576.88/x
  3. Step 3: Cross multiply
    27,300.40x = 40,946.52 × 7,576.88
  4. Step 4: Simplify right side
    27,300.40x = 310,246,868.46
  5. Step 5: Solve for x
    x = 310,246,868.46/27,300.40
  6. Step 6: Final answer
    x = 11,364.19

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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.