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Finding the Fourth Proportional to 29,007, 40,031.28 and 16,435.80

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Solution

The fourth proportional to 29,007, 40,031.28 and 16,435.80 is: 22,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,007 : 40,031.28 = 16,435.80 : x
  2. Step 2: Convert to fraction form
    29,007/40,031.28 = 16,435.80/x
  3. Step 3: Cross multiply
    29,007x = 40,031.28 × 16,435.80
  4. Step 4: Simplify right side
    29,007x = 657,946,111.82
  5. Step 5: Solve for x
    x = 657,946,111.82/29,007
  6. Step 6: Final answer
    x = 22,682.32

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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.