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Finding the Fourth Proportional to 116,521.86, 174,786.66 and 32,282.87

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Solution

The fourth proportional to 116,521.86, 174,786.66 and 32,282.87 is: 48,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,521.86 : 174,786.66 = 32,282.87 : x
  2. Step 2: Convert to fraction form
    116,521.86/174,786.66 = 32,282.87/x
  3. Step 3: Cross multiply
    116,521.86x = 174,786.66 × 32,282.87
  4. Step 4: Simplify right side
    116,521.86x = 5,642,615,022.51
  5. Step 5: Solve for x
    x = 5,642,615,022.51/116,521.86
  6. Step 6: Final answer
    x = 48,425.38

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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.