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Finding the Fourth Proportional to 104,577, 156,796.14 and 38,009.22

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Solution

The fourth proportional to 104,577, 156,796.14 and 38,009.22 is: 56,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,577 : 156,796.14 = 38,009.22 : x
  2. Step 2: Convert to fraction form
    104,577/156,796.14 = 38,009.22/x
  3. Step 3: Cross multiply
    104,577x = 156,796.14 × 38,009.22
  4. Step 4: Simplify right side
    104,577x = 5,959,698,980.41
  5. Step 5: Solve for x
    x = 5,959,698,980.41/104,577
  6. Step 6: Final answer
    x = 56,988.62

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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.