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Finding the Fourth Proportional to 64,739.84, 97,076.64 and 29,649.43

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Solution

The fourth proportional to 64,739.84, 97,076.64 and 29,649.43 is: 44,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,739.84 : 97,076.64 = 29,649.43 : x
  2. Step 2: Convert to fraction form
    64,739.84/97,076.64 = 29,649.43/x
  3. Step 3: Cross multiply
    64,739.84x = 97,076.64 × 29,649.43
  4. Step 4: Simplify right side
    64,739.84x = 2,878,266,556.93
  5. Step 5: Solve for x
    x = 2,878,266,556.93/64,739.84
  6. Step 6: Final answer
    x = 44,458.97

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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.