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Finding the Fourth Proportional to 35,736.88, 53,549.88 and 13,538.30

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Solution

The fourth proportional to 35,736.88, 53,549.88 and 13,538.30 is: 20,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.88 : 53,549.88 = 13,538.30 : x
  2. Step 2: Convert to fraction form
    35,736.88/53,549.88 = 13,538.30/x
  3. Step 3: Cross multiply
    35,736.88x = 53,549.88 × 13,538.30
  4. Step 4: Simplify right side
    35,736.88x = 724,974,340.40
  5. Step 5: Solve for x
    x = 724,974,340.40/35,736.88
  6. Step 6: Final answer
    x = 20,286.45

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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.