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Finding the Fourth Proportional to 104,642.10, 156,959.68 and 45,477.84

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Solution

The fourth proportional to 104,642.10, 156,959.68 and 45,477.84 is: 68,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,642.10 : 156,959.68 = 45,477.84 : x
  2. Step 2: Convert to fraction form
    104,642.10/156,959.68 = 45,477.84/x
  3. Step 3: Cross multiply
    104,642.10x = 156,959.68 × 45,477.84
  4. Step 4: Simplify right side
    104,642.10x = 7,138,187,213.49
  5. Step 5: Solve for x
    x = 7,138,187,213.49/104,642.10
  6. Step 6: Final answer
    x = 68,215.25

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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.