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Finding the Fourth Proportional to 29,566.54, 40,802.03 and 16,137.90

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Solution

The fourth proportional to 29,566.54, 40,802.03 and 16,137.90 is: 22,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,566.54 : 40,802.03 = 16,137.90 : x
  2. Step 2: Convert to fraction form
    29,566.54/40,802.03 = 16,137.90/x
  3. Step 3: Cross multiply
    29,566.54x = 40,802.03 × 16,137.90
  4. Step 4: Simplify right side
    29,566.54x = 658,459,059.76
  5. Step 5: Solve for x
    x = 658,459,059.76/29,566.54
  6. Step 6: Final answer
    x = 22,270.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.