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Finding the Fourth Proportional to 35,901.32, 53,839.02 and 12,205.04

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Solution

The fourth proportional to 35,901.32, 53,839.02 and 12,205.04 is: 18,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,901.32 : 53,839.02 = 12,205.04 : x
  2. Step 2: Convert to fraction form
    35,901.32/53,839.02 = 12,205.04/x
  3. Step 3: Cross multiply
    35,901.32x = 53,839.02 × 12,205.04
  4. Step 4: Simplify right side
    35,901.32x = 657,107,392.66
  5. Step 5: Solve for x
    x = 657,107,392.66/35,901.32
  6. Step 6: Final answer
    x = 18,303.15

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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.