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Finding the Fourth Proportional to 38,094.61, 57,156.95 and 11,801.40

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Solution

The fourth proportional to 38,094.61, 57,156.95 and 11,801.40 is: 17,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.61 : 57,156.95 = 11,801.40 : x
  2. Step 2: Convert to fraction form
    38,094.61/57,156.95 = 11,801.40/x
  3. Step 3: Cross multiply
    38,094.61x = 57,156.95 × 11,801.40
  4. Step 4: Simplify right side
    38,094.61x = 674,532,059.23
  5. Step 5: Solve for x
    x = 674,532,059.23/38,094.61
  6. Step 6: Final answer
    x = 17,706.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.