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Finding the Fourth Proportional to 116,022.72, 174,034.23 and 31,783.63

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Solution

The fourth proportional to 116,022.72, 174,034.23 and 31,783.63 is: 47,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,022.72 : 174,034.23 = 31,783.63 : x
  2. Step 2: Convert to fraction form
    116,022.72/174,034.23 = 31,783.63/x
  3. Step 3: Cross multiply
    116,022.72x = 174,034.23 × 31,783.63
  4. Step 4: Simplify right side
    116,022.72x = 5,531,440,088.20
  5. Step 5: Solve for x
    x = 5,531,440,088.20/116,022.72
  6. Step 6: Final answer
    x = 47,675.49

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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.