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Finding the Fourth Proportional to 65,562, 90,476.04 and 35,754

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Solution

The fourth proportional to 65,562, 90,476.04 and 35,754 is: 49,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562 : 90,476.04 = 35,754 : x
  2. Step 2: Convert to fraction form
    65,562/90,476.04 = 35,754/x
  3. Step 3: Cross multiply
    65,562x = 90,476.04 × 35,754
  4. Step 4: Simplify right side
    65,562x = 3,234,880,334.16
  5. Step 5: Solve for x
    x = 3,234,880,334.16/65,562
  6. Step 6: Final answer
    x = 49,340.78

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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.