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Finding the Fourth Proportional to 65,830.60, 98,768.94 and 19,086.28

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Solution

The fourth proportional to 65,830.60, 98,768.94 and 19,086.28 is: 28,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.60 : 98,768.94 = 19,086.28 : x
  2. Step 2: Convert to fraction form
    65,830.60/98,768.94 = 19,086.28/x
  3. Step 3: Cross multiply
    65,830.60x = 98,768.94 × 19,086.28
  4. Step 4: Simplify right side
    65,830.60x = 1,885,131,644.14
  5. Step 5: Solve for x
    x = 1,885,131,644.14/65,830.60
  6. Step 6: Final answer
    x = 28,636.10

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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.