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Finding the Fourth Proportional to 35,941.80, 53,912.70 and 12,565.80

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Solution

The fourth proportional to 35,941.80, 53,912.70 and 12,565.80 is: 18,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,941.80 : 53,912.70 = 12,565.80 : x
  2. Step 2: Convert to fraction form
    35,941.80/53,912.70 = 12,565.80/x
  3. Step 3: Cross multiply
    35,941.80x = 53,912.70 × 12,565.80
  4. Step 4: Simplify right side
    35,941.80x = 677,456,205.66
  5. Step 5: Solve for x
    x = 677,456,205.66/35,941.80
  6. Step 6: Final answer
    x = 18,848.70

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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.