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Finding the Fourth Proportional to 65,513.95, 98,270.89 and 52,304.47

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Solution

The fourth proportional to 65,513.95, 98,270.89 and 52,304.47 is: 78,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513.95 : 98,270.89 = 52,304.47 : x
  2. Step 2: Convert to fraction form
    65,513.95/98,270.89 = 52,304.47/x
  3. Step 3: Cross multiply
    65,513.95x = 98,270.89 × 52,304.47
  4. Step 4: Simplify right side
    65,513.95x = 5,140,006,441.44
  5. Step 5: Solve for x
    x = 5,140,006,441.44/65,513.95
  6. Step 6: Final answer
    x = 78,456.67

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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.