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Finding the Fourth Proportional to 64,952.72, 97,418.10 and 18,194.84

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Solution

The fourth proportional to 64,952.72, 97,418.10 and 18,194.84 is: 27,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.72 : 97,418.10 = 18,194.84 : x
  2. Step 2: Convert to fraction form
    64,952.72/97,418.10 = 18,194.84/x
  3. Step 3: Cross multiply
    64,952.72x = 97,418.10 × 18,194.84
  4. Step 4: Simplify right side
    64,952.72x = 1,772,506,742.60
  5. Step 5: Solve for x
    x = 1,772,506,742.60/64,952.72
  6. Step 6: Final answer
    x = 27,289.18

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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.