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Finding the Fourth Proportional to 116,052.92, 174,050.46 and 31,813.46

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Solution

The fourth proportional to 116,052.92, 174,050.46 and 31,813.46 is: 47,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,052.92 : 174,050.46 = 31,813.46 : x
  2. Step 2: Convert to fraction form
    116,052.92/174,050.46 = 31,813.46/x
  3. Step 3: Cross multiply
    116,052.92x = 174,050.46 × 31,813.46
  4. Step 4: Simplify right side
    116,052.92x = 5,537,147,347.19
  5. Step 5: Solve for x
    x = 5,537,147,347.19/116,052.92
  6. Step 6: Final answer
    x = 47,712.26

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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.