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Finding the Fourth Proportional to 75,396, 104,047.84 and 41,407.68

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Solution

The fourth proportional to 75,396, 104,047.84 and 41,407.68 is: 57,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,396 : 104,047.84 = 41,407.68 : x
  2. Step 2: Convert to fraction form
    75,396/104,047.84 = 41,407.68/x
  3. Step 3: Cross multiply
    75,396x = 104,047.84 × 41,407.68
  4. Step 4: Simplify right side
    75,396x = 4,308,379,663.41
  5. Step 5: Solve for x
    x = 4,308,379,663.41/75,396
  6. Step 6: Final answer
    x = 57,143.35

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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.