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Finding the Fourth Proportional to 116,403.71, 174,459.48 and 49,765.51

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Solution

The fourth proportional to 116,403.71, 174,459.48 and 49,765.51 is: 74,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,403.71 : 174,459.48 = 49,765.51 : x
  2. Step 2: Convert to fraction form
    116,403.71/174,459.48 = 49,765.51/x
  3. Step 3: Cross multiply
    116,403.71x = 174,459.48 × 49,765.51
  4. Step 4: Simplify right side
    116,403.71x = 8,682,065,027.99
  5. Step 5: Solve for x
    x = 8,682,065,027.99/116,403.71
  6. Step 6: Final answer
    x = 74,585.81

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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.