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Finding the Fourth Proportional to 64,464.78, 96,531.93 and 38,188.38

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Solution

The fourth proportional to 64,464.78, 96,531.93 and 38,188.38 is: 57,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.78 : 96,531.93 = 38,188.38 : x
  2. Step 2: Convert to fraction form
    64,464.78/96,531.93 = 38,188.38/x
  3. Step 3: Cross multiply
    64,464.78x = 96,531.93 × 38,188.38
  4. Step 4: Simplify right side
    64,464.78x = 3,686,398,024.97
  5. Step 5: Solve for x
    x = 3,686,398,024.97/64,464.78
  6. Step 6: Final answer
    x = 57,184.68

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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.