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Finding the Fourth Proportional to 75,893.58, 113,829.66 and 41,710.01

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Solution

The fourth proportional to 75,893.58, 113,829.66 and 41,710.01 is: 62,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893.58 : 113,829.66 = 41,710.01 : x
  2. Step 2: Convert to fraction form
    75,893.58/113,829.66 = 41,710.01/x
  3. Step 3: Cross multiply
    75,893.58x = 113,829.66 × 41,710.01
  4. Step 4: Simplify right side
    75,893.58x = 4,747,836,048.35
  5. Step 5: Solve for x
    x = 4,747,836,048.35/75,893.58
  6. Step 6: Final answer
    x = 62,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.