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Finding the Fourth Proportional to 53,537.40, 73,881.54 and 29,665.62

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Solution

The fourth proportional to 53,537.40, 73,881.54 and 29,665.62 is: 40,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537.40 : 73,881.54 = 29,665.62 : x
  2. Step 2: Convert to fraction form
    53,537.40/73,881.54 = 29,665.62/x
  3. Step 3: Cross multiply
    53,537.40x = 73,881.54 × 29,665.62
  4. Step 4: Simplify right side
    53,537.40x = 2,191,741,690.65
  5. Step 5: Solve for x
    x = 2,191,741,690.65/53,537.40
  6. Step 6: Final answer
    x = 40,938.52

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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.