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Finding the Fourth Proportional to 38,197, 57,318.54 and 16,309

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Solution

The fourth proportional to 38,197, 57,318.54 and 16,309 is: 24,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 57,318.54 = 16,309 : x
  2. Step 2: Convert to fraction form
    38,197/57,318.54 = 16,309/x
  3. Step 3: Cross multiply
    38,197x = 57,318.54 × 16,309
  4. Step 4: Simplify right side
    38,197x = 934,808,068.86
  5. Step 5: Solve for x
    x = 934,808,068.86/38,197
  6. Step 6: Final answer
    x = 24,473.34

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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.