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Finding the Fourth Proportional to 116,035.78, 174,065.82 and 49,482.94

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Solution

The fourth proportional to 116,035.78, 174,065.82 and 49,482.94 is: 74,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,035.78 : 174,065.82 = 49,482.94 : x
  2. Step 2: Convert to fraction form
    116,035.78/174,065.82 = 49,482.94/x
  3. Step 3: Cross multiply
    116,035.78x = 174,065.82 × 49,482.94
  4. Step 4: Simplify right side
    116,035.78x = 8,613,288,527.11
  5. Step 5: Solve for x
    x = 8,613,288,527.11/116,035.78
  6. Step 6: Final answer
    x = 74,229.59

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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.