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Finding the Fourth Proportional to 56,643.77, 78,174.38 and 32,446.67

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Solution

The fourth proportional to 56,643.77, 78,174.38 and 32,446.67 is: 44,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,643.77 : 78,174.38 = 32,446.67 : x
  2. Step 2: Convert to fraction form
    56,643.77/78,174.38 = 32,446.67/x
  3. Step 3: Cross multiply
    56,643.77x = 78,174.38 × 32,446.67
  4. Step 4: Simplify right side
    56,643.77x = 2,536,498,114.88
  5. Step 5: Solve for x
    x = 2,536,498,114.88/56,643.77
  6. Step 6: Final answer
    x = 44,779.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.