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Finding the Fourth Proportional to 64,707.72, 97,071.12 and 33,135.62

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Solution

The fourth proportional to 64,707.72, 97,071.12 and 33,135.62 is: 49,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,707.72 : 97,071.12 = 33,135.62 : x
  2. Step 2: Convert to fraction form
    64,707.72/97,071.12 = 33,135.62/x
  3. Step 3: Cross multiply
    64,707.72x = 97,071.12 × 33,135.62
  4. Step 4: Simplify right side
    64,707.72x = 3,216,511,745.29
  5. Step 5: Solve for x
    x = 3,216,511,745.29/64,707.72
  6. Step 6: Final answer
    x = 49,708.32

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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.