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Finding the Fourth Proportional to 64,647.82, 96,971.28 and 44,364.31

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Solution

The fourth proportional to 64,647.82, 96,971.28 and 44,364.31 is: 66,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647.82 : 96,971.28 = 44,364.31 : x
  2. Step 2: Convert to fraction form
    64,647.82/96,971.28 = 44,364.31/x
  3. Step 3: Cross multiply
    64,647.82x = 96,971.28 × 44,364.31
  4. Step 4: Simplify right side
    64,647.82x = 4,302,063,518.22
  5. Step 5: Solve for x
    x = 4,302,063,518.22/64,647.82
  6. Step 6: Final answer
    x = 66,546.15

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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.