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Finding the Fourth Proportional to 47,309.39, 65,302.77 and 28,195.16

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Solution

The fourth proportional to 47,309.39, 65,302.77 and 28,195.16 is: 38,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309.39 : 65,302.77 = 28,195.16 : x
  2. Step 2: Convert to fraction form
    47,309.39/65,302.77 = 28,195.16/x
  3. Step 3: Cross multiply
    47,309.39x = 65,302.77 × 28,195.16
  4. Step 4: Simplify right side
    47,309.39x = 1,841,222,048.59
  5. Step 5: Solve for x
    x = 1,841,222,048.59/47,309.39
  6. Step 6: Final answer
    x = 38,918.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.