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Finding the Fourth Proportional to 55,622.64, 76,758.48 and 30,472.32

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Solution

The fourth proportional to 55,622.64, 76,758.48 and 30,472.32 is: 42,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,622.64 : 76,758.48 = 30,472.32 : x
  2. Step 2: Convert to fraction form
    55,622.64/76,758.48 = 30,472.32/x
  3. Step 3: Cross multiply
    55,622.64x = 76,758.48 × 30,472.32
  4. Step 4: Simplify right side
    55,622.64x = 2,339,008,965.27
  5. Step 5: Solve for x
    x = 2,339,008,965.27/55,622.64
  6. Step 6: Final answer
    x = 42,051.38

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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.