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Finding the Fourth Proportional to 56,554.40, 84,734.40 and 47,806.40

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Solution

The fourth proportional to 56,554.40, 84,734.40 and 47,806.40 is: 71,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,554.40 : 84,734.40 = 47,806.40 : x
  2. Step 2: Convert to fraction form
    56,554.40/84,734.40 = 47,806.40/x
  3. Step 3: Cross multiply
    56,554.40x = 84,734.40 × 47,806.40
  4. Step 4: Simplify right side
    56,554.40x = 4,050,846,620.16
  5. Step 5: Solve for x
    x = 4,050,846,620.16/56,554.40
  6. Step 6: Final answer
    x = 71,627.44

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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.