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Finding the Fourth Proportional to 51,085.94, 70,500.64 and 30,931.38

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Solution

The fourth proportional to 51,085.94, 70,500.64 and 30,931.38 is: 42,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,085.94 : 70,500.64 = 30,931.38 : x
  2. Step 2: Convert to fraction form
    51,085.94/70,500.64 = 30,931.38/x
  3. Step 3: Cross multiply
    51,085.94x = 70,500.64 × 30,931.38
  4. Step 4: Simplify right side
    51,085.94x = 2,180,682,086.08
  5. Step 5: Solve for x
    x = 2,180,682,086.08/51,085.94
  6. Step 6: Final answer
    x = 42,686.54

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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.