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Finding the Fourth Proportional to 42,750, 58,995 and 23,887.13

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Solution

The fourth proportional to 42,750, 58,995 and 23,887.13 is: 32,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,750 : 58,995 = 23,887.13 : x
  2. Step 2: Convert to fraction form
    42,750/58,995 = 23,887.13/x
  3. Step 3: Cross multiply
    42,750x = 58,995 × 23,887.13
  4. Step 4: Simplify right side
    42,750x = 1,409,220,939.38
  5. Step 5: Solve for x
    x = 1,409,220,939.38/42,750
  6. Step 6: Final answer
    x = 32,964.23

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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.