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Finding the Fourth Proportional to 65,014.92, 97,530.56 and 22,328.68

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Solution

The fourth proportional to 65,014.92, 97,530.56 and 22,328.68 is: 33,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.92 : 97,530.56 = 22,328.68 : x
  2. Step 2: Convert to fraction form
    65,014.92/97,530.56 = 22,328.68/x
  3. Step 3: Cross multiply
    65,014.92x = 97,530.56 × 22,328.68
  4. Step 4: Simplify right side
    65,014.92x = 2,177,728,664.46
  5. Step 5: Solve for x
    x = 2,177,728,664.46/65,014.92
  6. Step 6: Final answer
    x = 33,495.83

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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.