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Finding the Fourth Proportional to 43,834.16, 65,750.70 and 41,709.08

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Solution

The fourth proportional to 43,834.16, 65,750.70 and 41,709.08 is: 62,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,834.16 : 65,750.70 = 41,709.08 : x
  2. Step 2: Convert to fraction form
    43,834.16/65,750.70 = 41,709.08/x
  3. Step 3: Cross multiply
    43,834.16x = 65,750.70 × 41,709.08
  4. Step 4: Simplify right side
    43,834.16x = 2,742,401,206.36
  5. Step 5: Solve for x
    x = 2,742,401,206.36/43,834.16
  6. Step 6: Final answer
    x = 62,563.11

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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.