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Finding the Fourth Proportional to 53,100, 73,282.88 and 29,231.52

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Solution

The fourth proportional to 53,100, 73,282.88 and 29,231.52 is: 40,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100 : 73,282.88 = 29,231.52 : x
  2. Step 2: Convert to fraction form
    53,100/73,282.88 = 29,231.52/x
  3. Step 3: Cross multiply
    53,100x = 73,282.88 × 29,231.52
  4. Step 4: Simplify right side
    53,100x = 2,142,169,972.38
  5. Step 5: Solve for x
    x = 2,142,169,972.38/53,100
  6. Step 6: Final answer
    x = 40,342.18

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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.