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Finding the Fourth Proportional to 38,207.40, 57,300 and 16,020.16

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Solution

The fourth proportional to 38,207.40, 57,300 and 16,020.16 is: 24,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207.40 : 57,300 = 16,020.16 : x
  2. Step 2: Convert to fraction form
    38,207.40/57,300 = 16,020.16/x
  3. Step 3: Cross multiply
    38,207.40x = 57,300 × 16,020.16
  4. Step 4: Simplify right side
    38,207.40x = 917,955,168
  5. Step 5: Solve for x
    x = 917,955,168/38,207.40
  6. Step 6: Final answer
    x = 24,025.59

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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.