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Finding the Fourth Proportional to 116,420.96, 174,485.45 and 49,782.88

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Solution

The fourth proportional to 116,420.96, 174,485.45 and 49,782.88 is: 74,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420.96 : 174,485.45 = 49,782.88 : x
  2. Step 2: Convert to fraction form
    116,420.96/174,485.45 = 49,782.88/x
  3. Step 3: Cross multiply
    116,420.96x = 174,485.45 × 49,782.88
  4. Step 4: Simplify right side
    116,420.96x = 8,686,388,219.10
  5. Step 5: Solve for x
    x = 8,686,388,219.10/116,420.96
  6. Step 6: Final answer
    x = 74,611.89

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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.