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Finding the Fourth Proportional to 29,520, 40,737.60 and 16,948.80

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Solution

The fourth proportional to 29,520, 40,737.60 and 16,948.80 is: 23,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,520 : 40,737.60 = 16,948.80 : x
  2. Step 2: Convert to fraction form
    29,520/40,737.60 = 16,948.80/x
  3. Step 3: Cross multiply
    29,520x = 40,737.60 × 16,948.80
  4. Step 4: Simplify right side
    29,520x = 690,453,434.88
  5. Step 5: Solve for x
    x = 690,453,434.88/29,520
  6. Step 6: Final answer
    x = 23,389.34

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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.