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Finding the Fourth Proportional to 71,758.22, 99,017.43 and 39,924.86

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Solution

The fourth proportional to 71,758.22, 99,017.43 and 39,924.86 is: 55,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758.22 : 99,017.43 = 39,924.86 : x
  2. Step 2: Convert to fraction form
    71,758.22/99,017.43 = 39,924.86/x
  3. Step 3: Cross multiply
    71,758.22x = 99,017.43 × 39,924.86
  4. Step 4: Simplify right side
    71,758.22x = 3,953,257,030.31
  5. Step 5: Solve for x
    x = 3,953,257,030.31/71,758.22
  6. Step 6: Final answer
    x = 55,091.35

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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.