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Finding the Fourth Proportional to 116,275.68, 174,431.16 and 49,716

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Solution

The fourth proportional to 116,275.68, 174,431.16 and 49,716 is: 74,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,275.68 : 174,431.16 = 49,716 : x
  2. Step 2: Convert to fraction form
    116,275.68/174,431.16 = 49,716/x
  3. Step 3: Cross multiply
    116,275.68x = 174,431.16 × 49,716
  4. Step 4: Simplify right side
    116,275.68x = 8,672,019,550.56
  5. Step 5: Solve for x
    x = 8,672,019,550.56/116,275.68
  6. Step 6: Final answer
    x = 74,581.54

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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.