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Finding the Fourth Proportional to 76,838.10, 115,257.15 and 65,028.30

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Solution

The fourth proportional to 76,838.10, 115,257.15 and 65,028.30 is: 97,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,838.10 : 115,257.15 = 65,028.30 : x
  2. Step 2: Convert to fraction form
    76,838.10/115,257.15 = 65,028.30/x
  3. Step 3: Cross multiply
    76,838.10x = 115,257.15 × 65,028.30
  4. Step 4: Simplify right side
    76,838.10x = 7,494,976,527.35
  5. Step 5: Solve for x
    x = 7,494,976,527.35/76,838.10
  6. Step 6: Final answer
    x = 97,542.45

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1.5x scale

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.