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Finding the Fourth Proportional to 116,110.47, 174,165.84 and 31,871.79

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Solution

The fourth proportional to 116,110.47, 174,165.84 and 31,871.79 is: 47,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,110.47 : 174,165.84 = 31,871.79 : x
  2. Step 2: Convert to fraction form
    116,110.47/174,165.84 = 31,871.79/x
  3. Step 3: Cross multiply
    116,110.47x = 174,165.84 × 31,871.79
  4. Step 4: Simplify right side
    116,110.47x = 5,550,977,077.65
  5. Step 5: Solve for x
    x = 5,550,977,077.65/116,110.47
  6. Step 6: Final answer
    x = 47,807.72

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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.