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Finding the Fourth Proportional to 56,670.96, 85,005.48 and 19,734

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Solution

The fourth proportional to 56,670.96, 85,005.48 and 19,734 is: 29,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,670.96 : 85,005.48 = 19,734 : x
  2. Step 2: Convert to fraction form
    56,670.96/85,005.48 = 19,734/x
  3. Step 3: Cross multiply
    56,670.96x = 85,005.48 × 19,734
  4. Step 4: Simplify right side
    56,670.96x = 1,677,498,142.32
  5. Step 5: Solve for x
    x = 1,677,498,142.32/56,670.96
  6. Step 6: Final answer
    x = 29,600.67

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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.