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Finding the Fourth Proportional to 66,041.76, 91,031.08 and 54,084

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Solution

The fourth proportional to 66,041.76, 91,031.08 and 54,084 is: 74,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,041.76 : 91,031.08 = 54,084 : x
  2. Step 2: Convert to fraction form
    66,041.76/91,031.08 = 54,084/x
  3. Step 3: Cross multiply
    66,041.76x = 91,031.08 × 54,084
  4. Step 4: Simplify right side
    66,041.76x = 4,923,324,930.72
  5. Step 5: Solve for x
    x = 4,923,324,930.72/66,041.76
  6. Step 6: Final answer
    x = 74,548.66

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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.