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Finding the Fourth Proportional to 98,522.96, 135,960.84 and 53,810

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Solution

The fourth proportional to 98,522.96, 135,960.84 and 53,810 is: 74,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522.96 : 135,960.84 = 53,810 : x
  2. Step 2: Convert to fraction form
    98,522.96/135,960.84 = 53,810/x
  3. Step 3: Cross multiply
    98,522.96x = 135,960.84 × 53,810
  4. Step 4: Simplify right side
    98,522.96x = 7,316,052,800.40
  5. Step 5: Solve for x
    x = 7,316,052,800.40/98,522.96
  6. Step 6: Final answer
    x = 74,257.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.