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Finding the Fourth Proportional to 85,954.41, 128,958.03 and 41,033.10

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Solution

The fourth proportional to 85,954.41, 128,958.03 and 41,033.10 is: 61,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,954.41 : 128,958.03 = 41,033.10 : x
  2. Step 2: Convert to fraction form
    85,954.41/128,958.03 = 41,033.10/x
  3. Step 3: Cross multiply
    85,954.41x = 128,958.03 × 41,033.10
  4. Step 4: Simplify right side
    85,954.41x = 5,291,547,740.79
  5. Step 5: Solve for x
    x = 5,291,547,740.79/85,954.41
  6. Step 6: Final answer
    x = 61,562.26

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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.