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Finding the Fourth Proportional to 35,821.64, 53,733 and 12,448.88

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Solution

The fourth proportional to 35,821.64, 53,733 and 12,448.88 is: 18,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.64 : 53,733 = 12,448.88 : x
  2. Step 2: Convert to fraction form
    35,821.64/53,733 = 12,448.88/x
  3. Step 3: Cross multiply
    35,821.64x = 53,733 × 12,448.88
  4. Step 4: Simplify right side
    35,821.64x = 668,915,669.04
  5. Step 5: Solve for x
    x = 668,915,669.04/35,821.64
  6. Step 6: Final answer
    x = 18,673.51

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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.