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Finding the Fourth Proportional to 64,952.82, 97,432.74 and 18,209.34

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Solution

The fourth proportional to 64,952.82, 97,432.74 and 18,209.34 is: 27,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.82 : 97,432.74 = 18,209.34 : x
  2. Step 2: Convert to fraction form
    64,952.82/97,432.74 = 18,209.34/x
  3. Step 3: Cross multiply
    64,952.82x = 97,432.74 × 18,209.34
  4. Step 4: Simplify right side
    64,952.82x = 1,774,185,889.79
  5. Step 5: Solve for x
    x = 1,774,185,889.79/64,952.82
  6. Step 6: Final answer
    x = 27,314.99

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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.