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Finding the Fourth Proportional to 75,411.93, 104,069.32 and 41,421.22

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Solution

The fourth proportional to 75,411.93, 104,069.32 and 41,421.22 is: 57,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411.93 : 104,069.32 = 41,421.22 : x
  2. Step 2: Convert to fraction form
    75,411.93/104,069.32 = 41,421.22/x
  3. Step 3: Cross multiply
    75,411.93x = 104,069.32 × 41,421.22
  4. Step 4: Simplify right side
    75,411.93x = 4,310,678,068.24
  5. Step 5: Solve for x
    x = 4,310,678,068.24/75,411.93
  6. Step 6: Final answer
    x = 57,161.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.