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Finding the Fourth Proportional to 75,386.16, 104,031 and 41,850

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Solution

The fourth proportional to 75,386.16, 104,031 and 41,850 is: 57,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,386.16 : 104,031 = 41,850 : x
  2. Step 2: Convert to fraction form
    75,386.16/104,031 = 41,850/x
  3. Step 3: Cross multiply
    75,386.16x = 104,031 × 41,850
  4. Step 4: Simplify right side
    75,386.16x = 4,353,697,350
  5. Step 5: Solve for x
    x = 4,353,697,350/75,386.16
  6. Step 6: Final answer
    x = 57,751.94

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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.