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Finding the Fourth Proportional to 116,309.88, 174,468.42 and 32,071.50

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Solution

The fourth proportional to 116,309.88, 174,468.42 and 32,071.50 is: 48,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,309.88 : 174,468.42 = 32,071.50 : x
  2. Step 2: Convert to fraction form
    116,309.88/174,468.42 = 32,071.50/x
  3. Step 3: Cross multiply
    116,309.88x = 174,468.42 × 32,071.50
  4. Step 4: Simplify right side
    116,309.88x = 5,595,463,932.03
  5. Step 5: Solve for x
    x = 5,595,463,932.03/116,309.88
  6. Step 6: Final answer
    x = 48,108.24

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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.