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Finding the Fourth Proportional to 38,208, 57,320.16 and 14,834.40

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Solution

The fourth proportional to 38,208, 57,320.16 and 14,834.40 is: 22,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208 : 57,320.16 = 14,834.40 : x
  2. Step 2: Convert to fraction form
    38,208/57,320.16 = 14,834.40/x
  3. Step 3: Cross multiply
    38,208x = 57,320.16 × 14,834.40
  4. Step 4: Simplify right side
    38,208x = 850,310,181.50
  5. Step 5: Solve for x
    x = 850,310,181.50/38,208
  6. Step 6: Final answer
    x = 22,254.77

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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.