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Finding the Fourth Proportional to 72,006, 108,026.28 and 22,758

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Solution

The fourth proportional to 72,006, 108,026.28 and 22,758 is: 34,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006 : 108,026.28 = 22,758 : x
  2. Step 2: Convert to fraction form
    72,006/108,026.28 = 22,758/x
  3. Step 3: Cross multiply
    72,006x = 108,026.28 × 22,758
  4. Step 4: Simplify right side
    72,006x = 2,458,462,080.24
  5. Step 5: Solve for x
    x = 2,458,462,080.24/72,006
  6. Step 6: Final answer
    x = 34,142.46

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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.