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Finding the Fourth Proportional to 64,305, 96,457.50 and 29,254.68

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Solution

The fourth proportional to 64,305, 96,457.50 and 29,254.68 is: 43,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,305 : 96,457.50 = 29,254.68 : x
  2. Step 2: Convert to fraction form
    64,305/96,457.50 = 29,254.68/x
  3. Step 3: Cross multiply
    64,305x = 96,457.50 × 29,254.68
  4. Step 4: Simplify right side
    64,305x = 2,821,833,296.10
  5. Step 5: Solve for x
    x = 2,821,833,296.10/64,305
  6. Step 6: Final answer
    x = 43,882.02

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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.