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Finding the Fourth Proportional to 52,142.88, 78,213.64 and 12,700.04

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Solution

The fourth proportional to 52,142.88, 78,213.64 and 12,700.04 is: 19,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.88 : 78,213.64 = 12,700.04 : x
  2. Step 2: Convert to fraction form
    52,142.88/78,213.64 = 12,700.04/x
  3. Step 3: Cross multiply
    52,142.88x = 78,213.64 × 12,700.04
  4. Step 4: Simplify right side
    52,142.88x = 993,316,356.55
  5. Step 5: Solve for x
    x = 993,316,356.55/52,142.88
  6. Step 6: Final answer
    x = 19,049.89

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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.