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Finding the Fourth Proportional to 76,265.98, 114,330.93 and 38,805.10

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Solution

The fourth proportional to 76,265.98, 114,330.93 and 38,805.10 is: 58,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,265.98 : 114,330.93 = 38,805.10 : x
  2. Step 2: Convert to fraction form
    76,265.98/114,330.93 = 38,805.10/x
  3. Step 3: Cross multiply
    76,265.98x = 114,330.93 × 38,805.10
  4. Step 4: Simplify right side
    76,265.98x = 4,436,623,171.74
  5. Step 5: Solve for x
    x = 4,436,623,171.74/76,265.98
  6. Step 6: Final answer
    x = 58,173.03

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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.