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Finding the Fourth Proportional to 64,913.81, 97,369.70 and 33,305.63

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Solution

The fourth proportional to 64,913.81, 97,369.70 and 33,305.63 is: 49,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,913.81 : 97,369.70 = 33,305.63 : x
  2. Step 2: Convert to fraction form
    64,913.81/97,369.70 = 33,305.63/x
  3. Step 3: Cross multiply
    64,913.81x = 97,369.70 × 33,305.63
  4. Step 4: Simplify right side
    64,913.81x = 3,242,958,609.28
  5. Step 5: Solve for x
    x = 3,242,958,609.28/64,913.81
  6. Step 6: Final answer
    x = 49,957.92

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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.