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Finding the Fourth Proportional to 65,716.80, 98,461.80 and 30,584.40

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Solution

The fourth proportional to 65,716.80, 98,461.80 and 30,584.40 is: 45,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.80 : 98,461.80 = 30,584.40 : x
  2. Step 2: Convert to fraction form
    65,716.80/98,461.80 = 30,584.40/x
  3. Step 3: Cross multiply
    65,716.80x = 98,461.80 × 30,584.40
  4. Step 4: Simplify right side
    65,716.80x = 3,011,395,075.92
  5. Step 5: Solve for x
    x = 3,011,395,075.92/65,716.80
  6. Step 6: Final answer
    x = 45,823.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.