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Finding the Fourth Proportional to 65,909.39, 98,843.63 and 23,784.02

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Solution

The fourth proportional to 65,909.39, 98,843.63 and 23,784.02 is: 35,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.39 : 98,843.63 = 23,784.02 : x
  2. Step 2: Convert to fraction form
    65,909.39/98,843.63 = 23,784.02/x
  3. Step 3: Cross multiply
    65,909.39x = 98,843.63 × 23,784.02
  4. Step 4: Simplify right side
    65,909.39x = 2,350,898,259.65
  5. Step 5: Solve for x
    x = 2,350,898,259.65/65,909.39
  6. Step 6: Final answer
    x = 35,668.64

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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.