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Finding the Fourth Proportional to 65,884.29, 98,830.84 and 23,184.64

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Solution

The fourth proportional to 65,884.29, 98,830.84 and 23,184.64 is: 34,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.29 : 98,830.84 = 23,184.64 : x
  2. Step 2: Convert to fraction form
    65,884.29/98,830.84 = 23,184.64/x
  3. Step 3: Cross multiply
    65,884.29x = 98,830.84 × 23,184.64
  4. Step 4: Simplify right side
    65,884.29x = 2,291,356,952.14
  5. Step 5: Solve for x
    x = 2,291,356,952.14/65,884.29
  6. Step 6: Final answer
    x = 34,778.50

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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.