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Finding the Fourth Proportional to 51,914.80, 77,807.40 and 38,047.60

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Solution

The fourth proportional to 51,914.80, 77,807.40 and 38,047.60 is: 57,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914.80 : 77,807.40 = 38,047.60 : x
  2. Step 2: Convert to fraction form
    51,914.80/77,807.40 = 38,047.60/x
  3. Step 3: Cross multiply
    51,914.80x = 77,807.40 × 38,047.60
  4. Step 4: Simplify right side
    51,914.80x = 2,960,384,832.24
  5. Step 5: Solve for x
    x = 2,960,384,832.24/51,914.80
  6. Step 6: Final answer
    x = 57,023.91

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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.