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Finding the Fourth Proportional to 52,094.63, 78,141.87 and 12,651.68

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Solution

The fourth proportional to 52,094.63, 78,141.87 and 12,651.68 is: 18,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094.63 : 78,141.87 = 12,651.68 : x
  2. Step 2: Convert to fraction form
    52,094.63/78,141.87 = 12,651.68/x
  3. Step 3: Cross multiply
    52,094.63x = 78,141.87 × 12,651.68
  4. Step 4: Simplify right side
    52,094.63x = 988,625,543.13
  5. Step 5: Solve for x
    x = 988,625,543.13/52,094.63
  6. Step 6: Final answer
    x = 18,977.50

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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.