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Finding the Fourth Proportional to 74,947.10, 112,476.10 and 35,504.30

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Solution

The fourth proportional to 74,947.10, 112,476.10 and 35,504.30 is: 53,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,947.10 : 112,476.10 = 35,504.30 : x
  2. Step 2: Convert to fraction form
    74,947.10/112,476.10 = 35,504.30/x
  3. Step 3: Cross multiply
    74,947.10x = 112,476.10 × 35,504.30
  4. Step 4: Simplify right side
    74,947.10x = 3,993,385,197.23
  5. Step 5: Solve for x
    x = 3,993,385,197.23/74,947.10
  6. Step 6: Final answer
    x = 53,282.72

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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.