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Finding the Fourth Proportional to 53,538.38, 73,880.78 and 29,666.06

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Solution

The fourth proportional to 53,538.38, 73,880.78 and 29,666.06 is: 40,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.38 : 73,880.78 = 29,666.06 : x
  2. Step 2: Convert to fraction form
    53,538.38/73,880.78 = 29,666.06/x
  3. Step 3: Cross multiply
    53,538.38x = 73,880.78 × 29,666.06
  4. Step 4: Simplify right side
    53,538.38x = 2,191,751,652.33
  5. Step 5: Solve for x
    x = 2,191,751,652.33/53,538.38
  6. Step 6: Final answer
    x = 40,937.95

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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.