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Finding the Fourth Proportional to 97,507.82, 146,315.70 and 47,588.33

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Solution

The fourth proportional to 97,507.82, 146,315.70 and 47,588.33 is: 71,408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,507.82 : 146,315.70 = 47,588.33 : x
  2. Step 2: Convert to fraction form
    97,507.82/146,315.70 = 47,588.33/x
  3. Step 3: Cross multiply
    97,507.82x = 146,315.70 × 47,588.33
  4. Step 4: Simplify right side
    97,507.82x = 6,962,919,271.54
  5. Step 5: Solve for x
    x = 6,962,919,271.54/97,507.82
  6. Step 6: Final answer
    x = 71,408.83

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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.