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Finding the Fourth Proportional to 42,105.54, 63,103.63 and 17,116.50

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Solution

The fourth proportional to 42,105.54, 63,103.63 and 17,116.50 is: 25,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.54 : 63,103.63 = 17,116.50 : x
  2. Step 2: Convert to fraction form
    42,105.54/63,103.63 = 17,116.50/x
  3. Step 3: Cross multiply
    42,105.54x = 63,103.63 × 17,116.50
  4. Step 4: Simplify right side
    42,105.54x = 1,080,113,282.90
  5. Step 5: Solve for x
    x = 1,080,113,282.90/42,105.54
  6. Step 6: Final answer
    x = 25,652.52

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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.