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Finding the Fourth Proportional to 104,574, 156,791.64 and 38,006.22

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Solution

The fourth proportional to 104,574, 156,791.64 and 38,006.22 is: 56,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,574 : 156,791.64 = 38,006.22 : x
  2. Step 2: Convert to fraction form
    104,574/156,791.64 = 38,006.22/x
  3. Step 3: Cross multiply
    104,574x = 156,791.64 × 38,006.22
  4. Step 4: Simplify right side
    104,574x = 5,959,057,564.00
  5. Step 5: Solve for x
    x = 5,959,057,564.00/104,574
  6. Step 6: Final answer
    x = 56,984.12

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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.