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Finding the Fourth Proportional to 64,764.96, 97,006.82 and 31,414.94

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Solution

The fourth proportional to 64,764.96, 97,006.82 and 31,414.94 is: 47,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,764.96 : 97,006.82 = 31,414.94 : x
  2. Step 2: Convert to fraction form
    64,764.96/97,006.82 = 31,414.94/x
  3. Step 3: Cross multiply
    64,764.96x = 97,006.82 × 31,414.94
  4. Step 4: Simplify right side
    64,764.96x = 3,047,462,787.78
  5. Step 5: Solve for x
    x = 3,047,462,787.78/64,764.96
  6. Step 6: Final answer
    x = 47,054.19

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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.