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Finding the Fourth Proportional to 64,882.98, 97,294.23 and 33,709.86

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Solution

The fourth proportional to 64,882.98, 97,294.23 and 33,709.86 is: 50,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,882.98 : 97,294.23 = 33,709.86 : x
  2. Step 2: Convert to fraction form
    64,882.98/97,294.23 = 33,709.86/x
  3. Step 3: Cross multiply
    64,882.98x = 97,294.23 × 33,709.86
  4. Step 4: Simplify right side
    64,882.98x = 3,279,774,872.11
  5. Step 5: Solve for x
    x = 3,279,774,872.11/64,882.98
  6. Step 6: Final answer
    x = 50,549.08

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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.