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Finding the Fourth Proportional to 75,465.96, 104,143.98 and 41,478.17

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Solution

The fourth proportional to 75,465.96, 104,143.98 and 41,478.17 is: 57,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465.96 : 104,143.98 = 41,478.17 : x
  2. Step 2: Convert to fraction form
    75,465.96/104,143.98 = 41,478.17/x
  3. Step 3: Cross multiply
    75,465.96x = 104,143.98 × 41,478.17
  4. Step 4: Simplify right side
    75,465.96x = 4,319,701,186.20
  5. Step 5: Solve for x
    x = 4,319,701,186.20/75,465.96
  6. Step 6: Final answer
    x = 57,240.39

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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.