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Finding the Fourth Proportional to 75,669.80, 113,423.70 and 25,703.60

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Solution

The fourth proportional to 75,669.80, 113,423.70 and 25,703.60 is: 38,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,669.80 : 113,423.70 = 25,703.60 : x
  2. Step 2: Convert to fraction form
    75,669.80/113,423.70 = 25,703.60/x
  3. Step 3: Cross multiply
    75,669.80x = 113,423.70 × 25,703.60
  4. Step 4: Simplify right side
    75,669.80x = 2,915,397,415.32
  5. Step 5: Solve for x
    x = 2,915,397,415.32/75,669.80
  6. Step 6: Final answer
    x = 38,527.89

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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.