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Finding the Fourth Proportional to 49,032, 67,669.92 and 29,160

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Solution

The fourth proportional to 49,032, 67,669.92 and 29,160 is: 40,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,032 : 67,669.92 = 29,160 : x
  2. Step 2: Convert to fraction form
    49,032/67,669.92 = 29,160/x
  3. Step 3: Cross multiply
    49,032x = 67,669.92 × 29,160
  4. Step 4: Simplify right side
    49,032x = 1,973,254,867.20
  5. Step 5: Solve for x
    x = 1,973,254,867.20/49,032
  6. Step 6: Final answer
    x = 40,244.23

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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.