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Finding the Fourth Proportional to 64,226.61, 96,259.68 and 30,940.47

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Solution

The fourth proportional to 64,226.61, 96,259.68 and 30,940.47 is: 46,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,226.61 : 96,259.68 = 30,940.47 : x
  2. Step 2: Convert to fraction form
    64,226.61/96,259.68 = 30,940.47/x
  3. Step 3: Cross multiply
    64,226.61x = 96,259.68 × 30,940.47
  4. Step 4: Simplify right side
    64,226.61x = 2,978,319,741.25
  5. Step 5: Solve for x
    x = 2,978,319,741.25/64,226.61
  6. Step 6: Final answer
    x = 46,372.05

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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.