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Finding the Fourth Proportional to 64,668.92, 96,970.50 and 29,578.50

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Solution

The fourth proportional to 64,668.92, 96,970.50 and 29,578.50 is: 44,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,668.92 : 96,970.50 = 29,578.50 : x
  2. Step 2: Convert to fraction form
    64,668.92/96,970.50 = 29,578.50/x
  3. Step 3: Cross multiply
    64,668.92x = 96,970.50 × 29,578.50
  4. Step 4: Simplify right side
    64,668.92x = 2,868,241,934.25
  5. Step 5: Solve for x
    x = 2,868,241,934.25/64,668.92
  6. Step 6: Final answer
    x = 44,352.71

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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.