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Finding the Fourth Proportional to 65,412.83, 98,119.62 and 23,294.55

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Solution

The fourth proportional to 65,412.83, 98,119.62 and 23,294.55 is: 34,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412.83 : 98,119.62 = 23,294.55 : x
  2. Step 2: Convert to fraction form
    65,412.83/98,119.62 = 23,294.55/x
  3. Step 3: Cross multiply
    65,412.83x = 98,119.62 × 23,294.55
  4. Step 4: Simplify right side
    65,412.83x = 2,285,652,394.07
  5. Step 5: Solve for x
    x = 2,285,652,394.07/65,412.83
  6. Step 6: Final answer
    x = 34,941.96

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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.