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Finding the Fourth Proportional to 65,830.80, 98,761.80 and 21,457.80

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Solution

The fourth proportional to 65,830.80, 98,761.80 and 21,457.80 is: 32,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.80 : 98,761.80 = 21,457.80 : x
  2. Step 2: Convert to fraction form
    65,830.80/98,761.80 = 21,457.80/x
  3. Step 3: Cross multiply
    65,830.80x = 98,761.80 × 21,457.80
  4. Step 4: Simplify right side
    65,830.80x = 2,119,210,952.04
  5. Step 5: Solve for x
    x = 2,119,210,952.04/65,830.80
  6. Step 6: Final answer
    x = 32,191.78

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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.