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Finding the Fourth Proportional to 64,276.52, 96,454.60 and 30,999.92

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Solution

The fourth proportional to 64,276.52, 96,454.60 and 30,999.92 is: 46,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,276.52 : 96,454.60 = 30,999.92 : x
  2. Step 2: Convert to fraction form
    64,276.52/96,454.60 = 30,999.92/x
  3. Step 3: Cross multiply
    64,276.52x = 96,454.60 × 30,999.92
  4. Step 4: Simplify right side
    64,276.52x = 2,990,084,323.86
  5. Step 5: Solve for x
    x = 2,990,084,323.86/64,276.52
  6. Step 6: Final answer
    x = 46,519.08

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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.