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Finding the Fourth Proportional to 52,931.52, 73,046.52 and 30,274.20

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Solution

The fourth proportional to 52,931.52, 73,046.52 and 30,274.20 is: 41,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931.52 : 73,046.52 = 30,274.20 : x
  2. Step 2: Convert to fraction form
    52,931.52/73,046.52 = 30,274.20/x
  3. Step 3: Cross multiply
    52,931.52x = 73,046.52 × 30,274.20
  4. Step 4: Simplify right side
    52,931.52x = 2,211,424,955.78
  5. Step 5: Solve for x
    x = 2,211,424,955.78/52,931.52
  6. Step 6: Final answer
    x = 41,778.98

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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.