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Finding the Fourth Proportional to 129,785.28, 194,710.88 and 36,291.52

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Solution

The fourth proportional to 129,785.28, 194,710.88 and 36,291.52 is: 54,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,785.28 : 194,710.88 = 36,291.52 : x
  2. Step 2: Convert to fraction form
    129,785.28/194,710.88 = 36,291.52/x
  3. Step 3: Cross multiply
    129,785.28x = 194,710.88 × 36,291.52
  4. Step 4: Simplify right side
    129,785.28x = 7,066,353,795.74
  5. Step 5: Solve for x
    x = 7,066,353,795.74/129,785.28
  6. Step 6: Final answer
    x = 54,446.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.