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Finding the Fourth Proportional to 82,931.99, 114,375.72 and 70,074.26

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Solution

The fourth proportional to 82,931.99, 114,375.72 and 70,074.26 is: 96,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931.99 : 114,375.72 = 70,074.26 : x
  2. Step 2: Convert to fraction form
    82,931.99/114,375.72 = 70,074.26/x
  3. Step 3: Cross multiply
    82,931.99x = 114,375.72 × 70,074.26
  4. Step 4: Simplify right side
    82,931.99x = 8,014,793,940.97
  5. Step 5: Solve for x
    x = 8,014,793,940.97/82,931.99
  6. Step 6: Final answer
    x = 96,642.97

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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.