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Finding the Fourth Proportional to 53,165.66, 79,693.77 and 23,597.42

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Solution

The fourth proportional to 53,165.66, 79,693.77 and 23,597.42 is: 35,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,165.66 : 79,693.77 = 23,597.42 : x
  2. Step 2: Convert to fraction form
    53,165.66/79,693.77 = 23,597.42/x
  3. Step 3: Cross multiply
    53,165.66x = 79,693.77 × 23,597.42
  4. Step 4: Simplify right side
    53,165.66x = 1,880,567,362.07
  5. Step 5: Solve for x
    x = 1,880,567,362.07/53,165.66
  6. Step 6: Final answer
    x = 35,371.84

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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.