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Finding the Fourth Proportional to 76,305.75, 114,475.02 and 25,709.80

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Solution

The fourth proportional to 76,305.75, 114,475.02 and 25,709.80 is: 38,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.75 : 114,475.02 = 25,709.80 : x
  2. Step 2: Convert to fraction form
    76,305.75/114,475.02 = 25,709.80/x
  3. Step 3: Cross multiply
    76,305.75x = 114,475.02 × 25,709.80
  4. Step 4: Simplify right side
    76,305.75x = 2,943,130,006.84
  5. Step 5: Solve for x
    x = 2,943,130,006.84/76,305.75
  6. Step 6: Final answer
    x = 38,570.23

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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.