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Finding the Fourth Proportional to 55,100.52, 76,038.32 and 29,950

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Solution

The fourth proportional to 55,100.52, 76,038.32 and 29,950 is: 41,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100.52 : 76,038.32 = 29,950 : x
  2. Step 2: Convert to fraction form
    55,100.52/76,038.32 = 29,950/x
  3. Step 3: Cross multiply
    55,100.52x = 76,038.32 × 29,950
  4. Step 4: Simplify right side
    55,100.52x = 2,277,347,684
  5. Step 5: Solve for x
    x = 2,277,347,684/55,100.52
  6. Step 6: Final answer
    x = 41,330.78

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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.