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Finding the Fourth Proportional to 29,673, 40,948.74 and 16,425

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Solution

The fourth proportional to 29,673, 40,948.74 and 16,425 is: 22,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,673 : 40,948.74 = 16,425 : x
  2. Step 2: Convert to fraction form
    29,673/40,948.74 = 16,425/x
  3. Step 3: Cross multiply
    29,673x = 40,948.74 × 16,425
  4. Step 4: Simplify right side
    29,673x = 672,583,054.50
  5. Step 5: Solve for x
    x = 672,583,054.50/29,673
  6. Step 6: Final answer
    x = 22,666.50

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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.