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Finding the Fourth Proportional to 64,457.20, 96,758.70 and 34,859.80

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Solution

The fourth proportional to 64,457.20, 96,758.70 and 34,859.80 is: 52,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,457.20 : 96,758.70 = 34,859.80 : x
  2. Step 2: Convert to fraction form
    64,457.20/96,758.70 = 34,859.80/x
  3. Step 3: Cross multiply
    64,457.20x = 96,758.70 × 34,859.80
  4. Step 4: Simplify right side
    64,457.20x = 3,372,988,930.26
  5. Step 5: Solve for x
    x = 3,372,988,930.26/64,457.20
  6. Step 6: Final answer
    x = 52,329.13

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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.