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Finding the Fourth Proportional to 38,196, 57,317.04 and 16,308

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Solution

The fourth proportional to 38,196, 57,317.04 and 16,308 is: 24,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 57,317.04 = 16,308 : x
  2. Step 2: Convert to fraction form
    38,196/57,317.04 = 16,308/x
  3. Step 3: Cross multiply
    38,196x = 57,317.04 × 16,308
  4. Step 4: Simplify right side
    38,196x = 934,726,288.32
  5. Step 5: Solve for x
    x = 934,726,288.32/38,196
  6. Step 6: Final answer
    x = 24,471.84

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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.