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Finding the Fourth Proportional to 65,402, 90,231.50 and 42,754

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Solution

The fourth proportional to 65,402, 90,231.50 and 42,754 is: 58,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 90,231.50 = 42,754 : x
  2. Step 2: Convert to fraction form
    65,402/90,231.50 = 42,754/x
  3. Step 3: Cross multiply
    65,402x = 90,231.50 × 42,754
  4. Step 4: Simplify right side
    65,402x = 3,857,757,551
  5. Step 5: Solve for x
    x = 3,857,757,551/65,402
  6. Step 6: Final answer
    x = 58,985.31

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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.