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Finding the Fourth Proportional to 96,414.66, 144,715.53 and 46,529.88

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Solution

The fourth proportional to 96,414.66, 144,715.53 and 46,529.88 is: 69,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414.66 : 144,715.53 = 46,529.88 : x
  2. Step 2: Convert to fraction form
    96,414.66/144,715.53 = 46,529.88/x
  3. Step 3: Cross multiply
    96,414.66x = 144,715.53 × 46,529.88
  4. Step 4: Simplify right side
    96,414.66x = 6,733,596,245.04
  5. Step 5: Solve for x
    x = 6,733,596,245.04/96,414.66
  6. Step 6: Final answer
    x = 69,839.96

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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.