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Finding the Fourth Proportional to 65,508.82, 98,284 and 23,388

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Solution

The fourth proportional to 65,508.82, 98,284 and 23,388 is: 35,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.82 : 98,284 = 23,388 : x
  2. Step 2: Convert to fraction form
    65,508.82/98,284 = 23,388/x
  3. Step 3: Cross multiply
    65,508.82x = 98,284 × 23,388
  4. Step 4: Simplify right side
    65,508.82x = 2,298,666,192
  5. Step 5: Solve for x
    x = 2,298,666,192/65,508.82
  6. Step 6: Final answer
    x = 35,089.42

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