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Finding the Fourth Proportional to 64,852.74, 97,308.66 and 33,284.96

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Solution

The fourth proportional to 64,852.74, 97,308.66 and 33,284.96 is: 49,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,852.74 : 97,308.66 = 33,284.96 : x
  2. Step 2: Convert to fraction form
    64,852.74/97,308.66 = 33,284.96/x
  3. Step 3: Cross multiply
    64,852.74x = 97,308.66 × 33,284.96
  4. Step 4: Simplify right side
    64,852.74x = 3,238,915,281.48
  5. Step 5: Solve for x
    x = 3,238,915,281.48/64,852.74
  6. Step 6: Final answer
    x = 49,942.62

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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.