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Finding the Fourth Proportional to 53,236.08, 79,854.48 and 23,646

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Solution

The fourth proportional to 53,236.08, 79,854.48 and 23,646 is: 35,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,236.08 : 79,854.48 = 23,646 : x
  2. Step 2: Convert to fraction form
    53,236.08/79,854.48 = 23,646/x
  3. Step 3: Cross multiply
    53,236.08x = 79,854.48 × 23,646
  4. Step 4: Simplify right side
    53,236.08x = 1,888,239,034.08
  5. Step 5: Solve for x
    x = 1,888,239,034.08/53,236.08
  6. Step 6: Final answer
    x = 35,469.16

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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.