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Finding the Fourth Proportional to 71,813.94, 99,106.14 and 41,598.78

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Solution

The fourth proportional to 71,813.94, 99,106.14 and 41,598.78 is: 57,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.94 : 99,106.14 = 41,598.78 : x
  2. Step 2: Convert to fraction form
    71,813.94/99,106.14 = 41,598.78/x
  3. Step 3: Cross multiply
    71,813.94x = 99,106.14 × 41,598.78
  4. Step 4: Simplify right side
    71,813.94x = 4,122,694,514.51
  5. Step 5: Solve for x
    x = 4,122,694,514.51/71,813.94
  6. Step 6: Final answer
    x = 57,408.00

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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.