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Finding the Fourth Proportional to 38,053.09, 52,507.11 and 23,895.91

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Solution

The fourth proportional to 38,053.09, 52,507.11 and 23,895.91 is: 32,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.09 : 52,507.11 = 23,895.91 : x
  2. Step 2: Convert to fraction form
    38,053.09/52,507.11 = 23,895.91/x
  3. Step 3: Cross multiply
    38,053.09x = 52,507.11 × 23,895.91
  4. Step 4: Simplify right side
    38,053.09x = 1,254,705,174.92
  5. Step 5: Solve for x
    x = 1,254,705,174.92/38,053.09
  6. Step 6: Final answer
    x = 32,972.49

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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.