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Finding the Fourth Proportional to 65,924.82, 98,894.43 and 19,185.30

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Solution

The fourth proportional to 65,924.82, 98,894.43 and 19,185.30 is: 28,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924.82 : 98,894.43 = 19,185.30 : x
  2. Step 2: Convert to fraction form
    65,924.82/98,894.43 = 19,185.30/x
  3. Step 3: Cross multiply
    65,924.82x = 98,894.43 × 19,185.30
  4. Step 4: Simplify right side
    65,924.82x = 1,897,319,307.88
  5. Step 5: Solve for x
    x = 1,897,319,307.88/65,924.82
  6. Step 6: Final answer
    x = 28,780.05

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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.