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Finding the Fourth Proportional to 34,102.40, 51,156.12 and 9,142.40

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Solution

The fourth proportional to 34,102.40, 51,156.12 and 9,142.40 is: 13,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.40 : 51,156.12 = 9,142.40 : x
  2. Step 2: Convert to fraction form
    34,102.40/51,156.12 = 9,142.40/x
  3. Step 3: Cross multiply
    34,102.40x = 51,156.12 × 9,142.40
  4. Step 4: Simplify right side
    34,102.40x = 467,689,711.49
  5. Step 5: Solve for x
    x = 467,689,711.49/34,102.40
  6. Step 6: Final answer
    x = 13,714.28

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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.