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Finding the Fourth Proportional to 74,461.56, 111,649.14 and 30,051.96

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Solution

The fourth proportional to 74,461.56, 111,649.14 and 30,051.96 is: 45,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461.56 : 111,649.14 = 30,051.96 : x
  2. Step 2: Convert to fraction form
    74,461.56/111,649.14 = 30,051.96/x
  3. Step 3: Cross multiply
    74,461.56x = 111,649.14 × 30,051.96
  4. Step 4: Simplify right side
    74,461.56x = 3,355,275,489.31
  5. Step 5: Solve for x
    x = 3,355,275,489.31/74,461.56
  6. Step 6: Final answer
    x = 45,060.50

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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.