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Finding the Fourth Proportional to 64,101.80, 96,097.02 and 30,805.16

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Solution

The fourth proportional to 64,101.80, 96,097.02 and 30,805.16 is: 46,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,101.80 : 96,097.02 = 30,805.16 : x
  2. Step 2: Convert to fraction form
    64,101.80/96,097.02 = 30,805.16/x
  3. Step 3: Cross multiply
    64,101.80x = 96,097.02 × 30,805.16
  4. Step 4: Simplify right side
    64,101.80x = 2,960,284,076.62
  5. Step 5: Solve for x
    x = 2,960,284,076.62/64,101.80
  6. Step 6: Final answer
    x = 46,180.98

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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.