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Finding the Fourth Proportional to 104,576, 156,870.06 and 38,015.86

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Solution

The fourth proportional to 104,576, 156,870.06 and 38,015.86 is: 57,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576 : 156,870.06 = 38,015.86 : x
  2. Step 2: Convert to fraction form
    104,576/156,870.06 = 38,015.86/x
  3. Step 3: Cross multiply
    104,576x = 156,870.06 × 38,015.86
  4. Step 4: Simplify right side
    104,576x = 5,963,550,239.15
  5. Step 5: Solve for x
    x = 5,963,550,239.15/104,576
  6. Step 6: Final answer
    x = 57,025.99

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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.