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Finding the Fourth Proportional to 29,468, 40,666.70 and 16,040.12

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Solution

The fourth proportional to 29,468, 40,666.70 and 16,040.12 is: 22,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468 : 40,666.70 = 16,040.12 : x
  2. Step 2: Convert to fraction form
    29,468/40,666.70 = 16,040.12/x
  3. Step 3: Cross multiply
    29,468x = 40,666.70 × 16,040.12
  4. Step 4: Simplify right side
    29,468x = 652,298,748.00
  5. Step 5: Solve for x
    x = 652,298,748.00/29,468
  6. Step 6: Final answer
    x = 22,135.83

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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.