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Finding the Fourth Proportional to 43,412.40, 65,102.40 and 17,111.70

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Solution

The fourth proportional to 43,412.40, 65,102.40 and 17,111.70 is: 25,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412.40 : 65,102.40 = 17,111.70 : x
  2. Step 2: Convert to fraction form
    43,412.40/65,102.40 = 17,111.70/x
  3. Step 3: Cross multiply
    43,412.40x = 65,102.40 × 17,111.70
  4. Step 4: Simplify right side
    43,412.40x = 1,114,012,738.08
  5. Step 5: Solve for x
    x = 1,114,012,738.08/43,412.40
  6. Step 6: Final answer
    x = 25,661.16

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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.