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Finding the Fourth Proportional to 38,072.64, 57,102.72 and 10,372.80

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Solution

The fourth proportional to 38,072.64, 57,102.72 and 10,372.80 is: 15,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.64 : 57,102.72 = 10,372.80 : x
  2. Step 2: Convert to fraction form
    38,072.64/57,102.72 = 10,372.80/x
  3. Step 3: Cross multiply
    38,072.64x = 57,102.72 × 10,372.80
  4. Step 4: Simplify right side
    38,072.64x = 592,315,094.02
  5. Step 5: Solve for x
    x = 592,315,094.02/38,072.64
  6. Step 6: Final answer
    x = 15,557.50

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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.