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Finding the Fourth Proportional to 42,754, 58,999.42 and 23,891.28

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Solution

The fourth proportional to 42,754, 58,999.42 and 23,891.28 is: 32,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,754 : 58,999.42 = 23,891.28 : x
  2. Step 2: Convert to fraction form
    42,754/58,999.42 = 23,891.28/x
  3. Step 3: Cross multiply
    42,754x = 58,999.42 × 23,891.28
  4. Step 4: Simplify right side
    42,754x = 1,409,571,663.06
  5. Step 5: Solve for x
    x = 1,409,571,663.06/42,754
  6. Step 6: Final answer
    x = 32,969.35

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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.