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Finding the Fourth Proportional to 53,233.77, 79,837.02 and 15,785.10

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Solution

The fourth proportional to 53,233.77, 79,837.02 and 15,785.10 is: 23,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,233.77 : 79,837.02 = 15,785.10 : x
  2. Step 2: Convert to fraction form
    53,233.77/79,837.02 = 15,785.10/x
  3. Step 3: Cross multiply
    53,233.77x = 79,837.02 × 15,785.10
  4. Step 4: Simplify right side
    53,233.77x = 1,260,235,344.40
  5. Step 5: Solve for x
    x = 1,260,235,344.40/53,233.77
  6. Step 6: Final answer
    x = 23,673.61

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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.