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Finding the Fourth Proportional to 94,296.50, 130,129.17 and 51,857.78

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Solution

The fourth proportional to 94,296.50, 130,129.17 and 51,857.78 is: 71,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,296.50 : 130,129.17 = 51,857.78 : x
  2. Step 2: Convert to fraction form
    94,296.50/130,129.17 = 51,857.78/x
  3. Step 3: Cross multiply
    94,296.50x = 130,129.17 × 51,857.78
  4. Step 4: Simplify right side
    94,296.50x = 6,748,209,869.44
  5. Step 5: Solve for x
    x = 6,748,209,869.44/94,296.50
  6. Step 6: Final answer
    x = 71,563.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.