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Finding the Fourth Proportional to 101,609.34, 152,421.30 and 35,048.49

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Solution

The fourth proportional to 101,609.34, 152,421.30 and 35,048.49 is: 52,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,609.34 : 152,421.30 = 35,048.49 : x
  2. Step 2: Convert to fraction form
    101,609.34/152,421.30 = 35,048.49/x
  3. Step 3: Cross multiply
    101,609.34x = 152,421.30 × 35,048.49
  4. Step 4: Simplify right side
    101,609.34x = 5,342,136,408.84
  5. Step 5: Solve for x
    x = 5,342,136,408.84/101,609.34
  6. Step 6: Final answer
    x = 52,575.25

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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.