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Finding the Fourth Proportional to 53,740.33, 74,160.03 and 30,769.38

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Solution

The fourth proportional to 53,740.33, 74,160.03 and 30,769.38 is: 42,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740.33 : 74,160.03 = 30,769.38 : x
  2. Step 2: Convert to fraction form
    53,740.33/74,160.03 = 30,769.38/x
  3. Step 3: Cross multiply
    53,740.33x = 74,160.03 × 30,769.38
  4. Step 4: Simplify right side
    53,740.33x = 2,281,858,143.88
  5. Step 5: Solve for x
    x = 2,281,858,143.88/53,740.33
  6. Step 6: Final answer
    x = 42,460.82

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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.