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Finding the Fourth Proportional to 35,896.40, 53,846.20 and 13,720.40

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Solution

The fourth proportional to 35,896.40, 53,846.20 and 13,720.40 is: 20,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.40 : 53,846.20 = 13,720.40 : x
  2. Step 2: Convert to fraction form
    35,896.40/53,846.20 = 13,720.40/x
  3. Step 3: Cross multiply
    35,896.40x = 53,846.20 × 13,720.40
  4. Step 4: Simplify right side
    35,896.40x = 738,791,402.48
  5. Step 5: Solve for x
    x = 738,791,402.48/35,896.40
  6. Step 6: Final answer
    x = 20,581.21

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1.5x scale

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.