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Finding the Fourth Proportional to 76,776.44, 115,094.48 and 65,006.04

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Solution

The fourth proportional to 76,776.44, 115,094.48 and 65,006.04 is: 97,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,776.44 : 115,094.48 = 65,006.04 : x
  2. Step 2: Convert to fraction form
    76,776.44/115,094.48 = 65,006.04/x
  3. Step 3: Cross multiply
    76,776.44x = 115,094.48 × 65,006.04
  4. Step 4: Simplify right side
    76,776.44x = 7,481,836,045.63
  5. Step 5: Solve for x
    x = 7,481,836,045.63/76,776.44
  6. Step 6: Final answer
    x = 97,449.64

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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.