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Finding the Fourth Proportional to 53,964, 74,470.32 and 31,608

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Solution

The fourth proportional to 53,964, 74,470.32 and 31,608 is: 43,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,964 : 74,470.32 = 31,608 : x
  2. Step 2: Convert to fraction form
    53,964/74,470.32 = 31,608/x
  3. Step 3: Cross multiply
    53,964x = 74,470.32 × 31,608
  4. Step 4: Simplify right side
    53,964x = 2,353,857,874.56
  5. Step 5: Solve for x
    x = 2,353,857,874.56/53,964
  6. Step 6: Final answer
    x = 43,619.04

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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.