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Finding the Fourth Proportional to 53,383.24, 73,669.32 and 29,510.32

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Solution

The fourth proportional to 53,383.24, 73,669.32 and 29,510.32 is: 40,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,383.24 : 73,669.32 = 29,510.32 : x
  2. Step 2: Convert to fraction form
    53,383.24/73,669.32 = 29,510.32/x
  3. Step 3: Cross multiply
    53,383.24x = 73,669.32 × 29,510.32
  4. Step 4: Simplify right side
    53,383.24x = 2,174,005,207.38
  5. Step 5: Solve for x
    x = 2,174,005,207.38/53,383.24
  6. Step 6: Final answer
    x = 40,724.49

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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.