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Finding the Fourth Proportional to 51,082.35, 70,476.83 and 30,931.57

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Solution

The fourth proportional to 51,082.35, 70,476.83 and 30,931.57 is: 42,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082.35 : 70,476.83 = 30,931.57 : x
  2. Step 2: Convert to fraction form
    51,082.35/70,476.83 = 30,931.57/x
  3. Step 3: Cross multiply
    51,082.35x = 70,476.83 × 30,931.57
  4. Step 4: Simplify right side
    51,082.35x = 2,179,959,223.94
  5. Step 5: Solve for x
    x = 2,179,959,223.94/51,082.35
  6. Step 6: Final answer
    x = 42,675.39

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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.