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Finding the Fourth Proportional to 116,509.68, 174,709.31 and 40,581.74

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Solution

The fourth proportional to 116,509.68, 174,709.31 and 40,581.74 is: 60,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.68 : 174,709.31 = 40,581.74 : x
  2. Step 2: Convert to fraction form
    116,509.68/174,709.31 = 40,581.74/x
  3. Step 3: Cross multiply
    116,509.68x = 174,709.31 × 40,581.74
  4. Step 4: Simplify right side
    116,509.68x = 7,090,008,027.86
  5. Step 5: Solve for x
    x = 7,090,008,027.86/116,509.68
  6. Step 6: Final answer
    x = 60,853.38

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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.