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Finding the Fourth Proportional to 116,540.31, 174,811.47 and 37,654.54

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Solution

The fourth proportional to 116,540.31, 174,811.47 and 37,654.54 is: 56,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,540.31 : 174,811.47 = 37,654.54 : x
  2. Step 2: Convert to fraction form
    116,540.31/174,811.47 = 37,654.54/x
  3. Step 3: Cross multiply
    116,540.31x = 174,811.47 × 37,654.54
  4. Step 4: Simplify right side
    116,540.31x = 6,582,445,489.57
  5. Step 5: Solve for x
    x = 6,582,445,489.57/116,540.31
  6. Step 6: Final answer
    x = 56,482.13

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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.