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Finding the Fourth Proportional to 42,507.72, 58,661.82 and 25,731

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Solution

The fourth proportional to 42,507.72, 58,661.82 and 25,731 is: 35,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507.72 : 58,661.82 = 25,731 : x
  2. Step 2: Convert to fraction form
    42,507.72/58,661.82 = 25,731/x
  3. Step 3: Cross multiply
    42,507.72x = 58,661.82 × 25,731
  4. Step 4: Simplify right side
    42,507.72x = 1,509,427,290.42
  5. Step 5: Solve for x
    x = 1,509,427,290.42/42,507.72
  6. Step 6: Final answer
    x = 35,509.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.