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Finding the Fourth Proportional to 65,914.34, 98,937.12 and 36,346.10

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Solution

The fourth proportional to 65,914.34, 98,937.12 and 36,346.10 is: 54,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.34 : 98,937.12 = 36,346.10 : x
  2. Step 2: Convert to fraction form
    65,914.34/98,937.12 = 36,346.10/x
  3. Step 3: Cross multiply
    65,914.34x = 98,937.12 × 36,346.10
  4. Step 4: Simplify right side
    65,914.34x = 3,595,978,457.23
  5. Step 5: Solve for x
    x = 3,595,978,457.23/65,914.34
  6. Step 6: Final answer
    x = 54,555.33

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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.