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Finding the Fourth Proportional to 104,570, 156,785.64 and 38,002.22

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Solution

The fourth proportional to 104,570, 156,785.64 and 38,002.22 is: 56,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,570 : 156,785.64 = 38,002.22 : x
  2. Step 2: Convert to fraction form
    104,570/156,785.64 = 38,002.22/x
  3. Step 3: Cross multiply
    104,570x = 156,785.64 × 38,002.22
  4. Step 4: Simplify right side
    104,570x = 5,958,202,384.12
  5. Step 5: Solve for x
    x = 5,958,202,384.12/104,570
  6. Step 6: Final answer
    x = 56,978.12

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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.